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Finding the Fourth Proportional to 2,670.80, 4,006.54 and 916.16

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Solution

The fourth proportional to 2,670.80, 4,006.54 and 916.16 is: 1,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.80 : 4,006.54 = 916.16 : x
  2. Step 2: Convert to fraction form
    2,670.80/4,006.54 = 916.16/x
  3. Step 3: Cross multiply
    2,670.80x = 4,006.54 × 916.16
  4. Step 4: Simplify right side
    2,670.80x = 3,670,631.69
  5. Step 5: Solve for x
    x = 3,670,631.69/2,670.80
  6. Step 6: Final answer
    x = 1,374.36

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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.