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Finding the Fourth Proportional to 13,603.71, 20,389.77 and 9,151.95

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Solution

The fourth proportional to 13,603.71, 20,389.77 and 9,151.95 is: 13,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.71 : 20,389.77 = 9,151.95 : x
  2. Step 2: Convert to fraction form
    13,603.71/20,389.77 = 9,151.95/x
  3. Step 3: Cross multiply
    13,603.71x = 20,389.77 × 9,151.95
  4. Step 4: Simplify right side
    13,603.71x = 186,606,155.55
  5. Step 5: Solve for x
    x = 186,606,155.55/13,603.71
  6. Step 6: Final answer
    x = 13,717.30

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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.