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Finding the Fourth Proportional to 12,472, 18,681.36 and 8,076.40

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Solution

The fourth proportional to 12,472, 18,681.36 and 8,076.40 is: 12,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472 : 18,681.36 = 8,076.40 : x
  2. Step 2: Convert to fraction form
    12,472/18,681.36 = 8,076.40/x
  3. Step 3: Cross multiply
    12,472x = 18,681.36 × 8,076.40
  4. Step 4: Simplify right side
    12,472x = 150,878,135.90
  5. Step 5: Solve for x
    x = 150,878,135.90/12,472
  6. Step 6: Final answer
    x = 12,097.35

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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.