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Finding the Fourth Proportional to 35,572, 53,349.90 and 13,387.72

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Solution

The fourth proportional to 35,572, 53,349.90 and 13,387.72 is: 20,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,572 : 53,349.90 = 13,387.72 : x
  2. Step 2: Convert to fraction form
    35,572/53,349.90 = 13,387.72/x
  3. Step 3: Cross multiply
    35,572x = 53,349.90 × 13,387.72
  4. Step 4: Simplify right side
    35,572x = 714,233,523.23
  5. Step 5: Solve for x
    x = 714,233,523.23/35,572
  6. Step 6: Final answer
    x = 20,078.53

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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.