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Finding the Fourth Proportional to 2,752.62, 3,798.13 and 1,557.60

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Solution

The fourth proportional to 2,752.62, 3,798.13 and 1,557.60 is: 2,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.62 : 3,798.13 = 1,557.60 : x
  2. Step 2: Convert to fraction form
    2,752.62/3,798.13 = 1,557.60/x
  3. Step 3: Cross multiply
    2,752.62x = 3,798.13 × 1,557.60
  4. Step 4: Simplify right side
    2,752.62x = 5,915,967.29
  5. Step 5: Solve for x
    x = 5,915,967.29/2,752.62
  6. Step 6: Final answer
    x = 2,149.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.