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Finding the Fourth Proportional to 2,647.50, 3,973.08 and 916.13

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Solution

The fourth proportional to 2,647.50, 3,973.08 and 916.13 is: 1,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.50 : 3,973.08 = 916.13 : x
  2. Step 2: Convert to fraction form
    2,647.50/3,973.08 = 916.13/x
  3. Step 3: Cross multiply
    2,647.50x = 3,973.08 × 916.13
  4. Step 4: Simplify right side
    2,647.50x = 3,639,837.92
  5. Step 5: Solve for x
    x = 3,639,837.92/2,647.50
  6. Step 6: Final answer
    x = 1,374.82

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Half scale
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Double scale
Find fourth proportional to 2,648.50, 3,974.58 and 917.13
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.