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Finding the Fourth Proportional to 8,663.76, 12,998.16 and 3,117

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Solution

The fourth proportional to 8,663.76, 12,998.16 and 3,117 is: 4,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.76 : 12,998.16 = 3,117 : x
  2. Step 2: Convert to fraction form
    8,663.76/12,998.16 = 3,117/x
  3. Step 3: Cross multiply
    8,663.76x = 12,998.16 × 3,117
  4. Step 4: Simplify right side
    8,663.76x = 40,515,264.72
  5. Step 5: Solve for x
    x = 40,515,264.72/8,663.76
  6. Step 6: Final answer
    x = 4,676.41

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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.