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Finding the Fourth Proportional to 8,871.72, 12,240.72 and 6,509.76

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Solution

The fourth proportional to 8,871.72, 12,240.72 and 6,509.76 is: 8,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.72 : 12,240.72 = 6,509.76 : x
  2. Step 2: Convert to fraction form
    8,871.72/12,240.72 = 6,509.76/x
  3. Step 3: Cross multiply
    8,871.72x = 12,240.72 × 6,509.76
  4. Step 4: Simplify right side
    8,871.72x = 79,684,149.43
  5. Step 5: Solve for x
    x = 79,684,149.43/8,871.72
  6. Step 6: Final answer
    x = 8,981.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.