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Finding the Fourth Proportional to 2,564.41, 3,539.07 and 1,502.20

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Solution

The fourth proportional to 2,564.41, 3,539.07 and 1,502.20 is: 2,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.41 : 3,539.07 = 1,502.20 : x
  2. Step 2: Convert to fraction form
    2,564.41/3,539.07 = 1,502.20/x
  3. Step 3: Cross multiply
    2,564.41x = 3,539.07 × 1,502.20
  4. Step 4: Simplify right side
    2,564.41x = 5,316,390.95
  5. Step 5: Solve for x
    x = 5,316,390.95/2,564.41
  6. Step 6: Final answer
    x = 2,073.14

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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.