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Finding the Fourth Proportional to 12,898.92, 17,787 and 9,548.76

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Solution

The fourth proportional to 12,898.92, 17,787 and 9,548.76 is: 13,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.92 : 17,787 = 9,548.76 : x
  2. Step 2: Convert to fraction form
    12,898.92/17,787 = 9,548.76/x
  3. Step 3: Cross multiply
    12,898.92x = 17,787 × 9,548.76
  4. Step 4: Simplify right side
    12,898.92x = 169,843,794.12
  5. Step 5: Solve for x
    x = 169,843,794.12/12,898.92
  6. Step 6: Final answer
    x = 13,167.29

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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.