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Finding the Fourth Proportional to 7,311.92, 10,088.28 and 4,167.92

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Solution

The fourth proportional to 7,311.92, 10,088.28 and 4,167.92 is: 5,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.92 : 10,088.28 = 4,167.92 : x
  2. Step 2: Convert to fraction form
    7,311.92/10,088.28 = 4,167.92/x
  3. Step 3: Cross multiply
    7,311.92x = 10,088.28 × 4,167.92
  4. Step 4: Simplify right side
    7,311.92x = 42,047,143.98
  5. Step 5: Solve for x
    x = 42,047,143.98/7,311.92
  6. Step 6: Final answer
    x = 5,750.49

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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.