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Finding the Fourth Proportional to 13,436.70, 18,542.71 and 7,468.92

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Solution

The fourth proportional to 13,436.70, 18,542.71 and 7,468.92 is: 10,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.70 : 18,542.71 = 7,468.92 : x
  2. Step 2: Convert to fraction form
    13,436.70/18,542.71 = 7,468.92/x
  3. Step 3: Cross multiply
    13,436.70x = 18,542.71 × 7,468.92
  4. Step 4: Simplify right side
    13,436.70x = 138,494,026.91
  5. Step 5: Solve for x
    x = 138,494,026.91/13,436.70
  6. Step 6: Final answer
    x = 10,307.15

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1.5x scale

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.