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Finding the Fourth Proportional to 8,569.52, 12,846.27 and 3,019.76

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Solution

The fourth proportional to 8,569.52, 12,846.27 and 3,019.76 is: 4,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.52 : 12,846.27 = 3,019.76 : x
  2. Step 2: Convert to fraction form
    8,569.52/12,846.27 = 3,019.76/x
  3. Step 3: Cross multiply
    8,569.52x = 12,846.27 × 3,019.76
  4. Step 4: Simplify right side
    8,569.52x = 38,792,652.30
  5. Step 5: Solve for x
    x = 38,792,652.30/8,569.52
  6. Step 6: Final answer
    x = 4,526.82

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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.