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Finding the Fourth Proportional to 12,640.73, 18,946.32 and 9,510.68

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Solution

The fourth proportional to 12,640.73, 18,946.32 and 9,510.68 is: 14,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.73 : 18,946.32 = 9,510.68 : x
  2. Step 2: Convert to fraction form
    12,640.73/18,946.32 = 9,510.68/x
  3. Step 3: Cross multiply
    12,640.73x = 18,946.32 × 9,510.68
  4. Step 4: Simplify right side
    12,640.73x = 180,192,398.40
  5. Step 5: Solve for x
    x = 180,192,398.40/12,640.73
  6. Step 6: Final answer
    x = 14,254.91

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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.