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Finding the Fourth Proportional to 10,789.38, 14,897.79 and 8,438.22

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Solution

The fourth proportional to 10,789.38, 14,897.79 and 8,438.22 is: 11,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.38 : 14,897.79 = 8,438.22 : x
  2. Step 2: Convert to fraction form
    10,789.38/14,897.79 = 8,438.22/x
  3. Step 3: Cross multiply
    10,789.38x = 14,897.79 × 8,438.22
  4. Step 4: Simplify right side
    10,789.38x = 125,710,829.53
  5. Step 5: Solve for x
    x = 125,710,829.53/10,789.38
  6. Step 6: Final answer
    x = 11,651.35

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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.