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Finding the Fourth Proportional to 11,502, 15,872.76 and 6,789.42

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Solution

The fourth proportional to 11,502, 15,872.76 and 6,789.42 is: 9,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 15,872.76 = 6,789.42 : x
  2. Step 2: Convert to fraction form
    11,502/15,872.76 = 6,789.42/x
  3. Step 3: Cross multiply
    11,502x = 15,872.76 × 6,789.42
  4. Step 4: Simplify right side
    11,502x = 107,766,834.20
  5. Step 5: Solve for x
    x = 107,766,834.20/11,502
  6. Step 6: Final answer
    x = 9,369.40

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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.