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Finding the Fourth Proportional to 8,586.54, 12,864.66 and 7,520.46

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Solution

The fourth proportional to 8,586.54, 12,864.66 and 7,520.46 is: 11,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.54 : 12,864.66 = 7,520.46 : x
  2. Step 2: Convert to fraction form
    8,586.54/12,864.66 = 7,520.46/x
  3. Step 3: Cross multiply
    8,586.54x = 12,864.66 × 7,520.46
  4. Step 4: Simplify right side
    8,586.54x = 96,748,084.50
  5. Step 5: Solve for x
    x = 96,748,084.50/8,586.54
  6. Step 6: Final answer
    x = 11,267.41

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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.