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Finding the Fourth Proportional to 12,580.78, 18,863.88 and 5,176.87

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Solution

The fourth proportional to 12,580.78, 18,863.88 and 5,176.87 is: 7,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.78 : 18,863.88 = 5,176.87 : x
  2. Step 2: Convert to fraction form
    12,580.78/18,863.88 = 5,176.87/x
  3. Step 3: Cross multiply
    12,580.78x = 18,863.88 × 5,176.87
  4. Step 4: Simplify right side
    12,580.78x = 97,655,854.46
  5. Step 5: Solve for x
    x = 97,655,854.46/12,580.78
  6. Step 6: Final answer
    x = 7,762.31

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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.