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Finding the Fourth Proportional to 8,489.16, 12,737 and 4,106.28

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Solution

The fourth proportional to 8,489.16, 12,737 and 4,106.28 is: 6,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.16 : 12,737 = 4,106.28 : x
  2. Step 2: Convert to fraction form
    8,489.16/12,737 = 4,106.28/x
  3. Step 3: Cross multiply
    8,489.16x = 12,737 × 4,106.28
  4. Step 4: Simplify right side
    8,489.16x = 52,301,688.36
  5. Step 5: Solve for x
    x = 52,301,688.36/8,489.16
  6. Step 6: Final answer
    x = 6,161.00

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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.