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Finding the Fourth Proportional to 13,578, 18,737.64 and 7,690

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Solution

The fourth proportional to 13,578, 18,737.64 and 7,690 is: 10,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 18,737.64 = 7,690 : x
  2. Step 2: Convert to fraction form
    13,578/18,737.64 = 7,690/x
  3. Step 3: Cross multiply
    13,578x = 18,737.64 × 7,690
  4. Step 4: Simplify right side
    13,578x = 144,092,451.60
  5. Step 5: Solve for x
    x = 144,092,451.60/13,578
  6. Step 6: Final answer
    x = 10,612.20

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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.