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Finding the Fourth Proportional to 2,647.69, 3,971.53 and 916.31

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Solution

The fourth proportional to 2,647.69, 3,971.53 and 916.31 is: 1,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.69 : 3,971.53 = 916.31 : x
  2. Step 2: Convert to fraction form
    2,647.69/3,971.53 = 916.31/x
  3. Step 3: Cross multiply
    2,647.69x = 3,971.53 × 916.31
  4. Step 4: Simplify right side
    2,647.69x = 3,639,163.73
  5. Step 5: Solve for x
    x = 3,639,163.73/2,647.69
  6. Step 6: Final answer
    x = 1,374.47

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Double scale
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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.