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Finding the Fourth Proportional to 7,251.59, 10,875 and 2,320.05

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Solution

The fourth proportional to 7,251.59, 10,875 and 2,320.05 is: 3,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251.59 : 10,875 = 2,320.05 : x
  2. Step 2: Convert to fraction form
    7,251.59/10,875 = 2,320.05/x
  3. Step 3: Cross multiply
    7,251.59x = 10,875 × 2,320.05
  4. Step 4: Simplify right side
    7,251.59x = 25,230,543.75
  5. Step 5: Solve for x
    x = 25,230,543.75/7,251.59
  6. Step 6: Final answer
    x = 3,479.31

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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.