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Finding the Fourth Proportional to 8,510.14, 12,733.11 and 7,646.86

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Solution

The fourth proportional to 8,510.14, 12,733.11 and 7,646.86 is: 11,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.14 : 12,733.11 = 7,646.86 : x
  2. Step 2: Convert to fraction form
    8,510.14/12,733.11 = 7,646.86/x
  3. Step 3: Cross multiply
    8,510.14x = 12,733.11 × 7,646.86
  4. Step 4: Simplify right side
    8,510.14x = 97,368,309.53
  5. Step 5: Solve for x
    x = 97,368,309.53/8,510.14
  6. Step 6: Final answer
    x = 11,441.45

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1.5x scale

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.