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Finding the Fourth Proportional to 8,555.30, 12,829.92 and 5,258.48

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Solution

The fourth proportional to 8,555.30, 12,829.92 and 5,258.48 is: 7,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.30 : 12,829.92 = 5,258.48 : x
  2. Step 2: Convert to fraction form
    8,555.30/12,829.92 = 5,258.48/x
  3. Step 3: Cross multiply
    8,555.30x = 12,829.92 × 5,258.48
  4. Step 4: Simplify right side
    8,555.30x = 67,465,877.72
  5. Step 5: Solve for x
    x = 67,465,877.72/8,555.30
  6. Step 6: Final answer
    x = 7,885.86

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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.