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Finding the Fourth Proportional to 7,152.56, 10,731.04 and 4,821.92

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Solution

The fourth proportional to 7,152.56, 10,731.04 and 4,821.92 is: 7,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.56 : 10,731.04 = 4,821.92 : x
  2. Step 2: Convert to fraction form
    7,152.56/10,731.04 = 4,821.92/x
  3. Step 3: Cross multiply
    7,152.56x = 10,731.04 × 4,821.92
  4. Step 4: Simplify right side
    7,152.56x = 51,744,216.40
  5. Step 5: Solve for x
    x = 51,744,216.40/7,152.56
  6. Step 6: Final answer
    x = 7,234.36

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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.