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Finding the Fourth Proportional to 7,487.04, 11,232.16 and 2,870

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Solution

The fourth proportional to 7,487.04, 11,232.16 and 2,870 is: 4,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.04 : 11,232.16 = 2,870 : x
  2. Step 2: Convert to fraction form
    7,487.04/11,232.16 = 2,870/x
  3. Step 3: Cross multiply
    7,487.04x = 11,232.16 × 2,870
  4. Step 4: Simplify right side
    7,487.04x = 32,236,299.20
  5. Step 5: Solve for x
    x = 32,236,299.20/7,487.04
  6. Step 6: Final answer
    x = 4,305.61

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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.