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Finding the Fourth Proportional to 23,539, 32,486.70 and 13,603

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Solution

The fourth proportional to 23,539, 32,486.70 and 13,603 is: 18,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,539 : 32,486.70 = 13,603 : x
  2. Step 2: Convert to fraction form
    23,539/32,486.70 = 13,603/x
  3. Step 3: Cross multiply
    23,539x = 32,486.70 × 13,603
  4. Step 4: Simplify right side
    23,539x = 441,916,580.10
  5. Step 5: Solve for x
    x = 441,916,580.10/23,539
  6. Step 6: Final answer
    x = 18,773.80

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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.