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Finding the Fourth Proportional to 15,147, 22,705.38 and 6,386.76

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Solution

The fourth proportional to 15,147, 22,705.38 and 6,386.76 is: 9,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 22,705.38 = 6,386.76 : x
  2. Step 2: Convert to fraction form
    15,147/22,705.38 = 6,386.76/x
  3. Step 3: Cross multiply
    15,147x = 22,705.38 × 6,386.76
  4. Step 4: Simplify right side
    15,147x = 145,013,812.77
  5. Step 5: Solve for x
    x = 145,013,812.77/15,147
  6. Step 6: Final answer
    x = 9,573.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.