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Finding the Fourth Proportional to 12,683, 19,031.04 and 5,665.16

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Solution

The fourth proportional to 12,683, 19,031.04 and 5,665.16 is: 8,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683 : 19,031.04 = 5,665.16 : x
  2. Step 2: Convert to fraction form
    12,683/19,031.04 = 5,665.16/x
  3. Step 3: Cross multiply
    12,683x = 19,031.04 × 5,665.16
  4. Step 4: Simplify right side
    12,683x = 107,813,886.57
  5. Step 5: Solve for x
    x = 107,813,886.57/12,683
  6. Step 6: Final answer
    x = 8,500.66

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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.