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Finding the Fourth Proportional to 8,079.92, 12,038.62 and 7,550

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Solution

The fourth proportional to 8,079.92, 12,038.62 and 7,550 is: 11,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.92 : 12,038.62 = 7,550 : x
  2. Step 2: Convert to fraction form
    8,079.92/12,038.62 = 7,550/x
  3. Step 3: Cross multiply
    8,079.92x = 12,038.62 × 7,550
  4. Step 4: Simplify right side
    8,079.92x = 90,891,581
  5. Step 5: Solve for x
    x = 90,891,581/8,079.92
  6. Step 6: Final answer
    x = 11,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.