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Finding the Fourth Proportional to 10,603.71, 15,894.63 and 4,761.99

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Solution

The fourth proportional to 10,603.71, 15,894.63 and 4,761.99 is: 7,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.71 : 15,894.63 = 4,761.99 : x
  2. Step 2: Convert to fraction form
    10,603.71/15,894.63 = 4,761.99/x
  3. Step 3: Cross multiply
    10,603.71x = 15,894.63 × 4,761.99
  4. Step 4: Simplify right side
    10,603.71x = 75,690,069.11
  5. Step 5: Solve for x
    x = 75,690,069.11/10,603.71
  6. Step 6: Final answer
    x = 7,138.07

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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.