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Finding the Fourth Proportional to 8,113.96, 12,151.50 and 7,239.16

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Solution

The fourth proportional to 8,113.96, 12,151.50 and 7,239.16 is: 10,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.96 : 12,151.50 = 7,239.16 : x
  2. Step 2: Convert to fraction form
    8,113.96/12,151.50 = 7,239.16/x
  3. Step 3: Cross multiply
    8,113.96x = 12,151.50 × 7,239.16
  4. Step 4: Simplify right side
    8,113.96x = 87,966,652.74
  5. Step 5: Solve for x
    x = 87,966,652.74/8,113.96
  6. Step 6: Final answer
    x = 10,841.40

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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.