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Finding the Fourth Proportional to 7,591.68, 10,476 and 6,023.52

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Solution

The fourth proportional to 7,591.68, 10,476 and 6,023.52 is: 8,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.68 : 10,476 = 6,023.52 : x
  2. Step 2: Convert to fraction form
    7,591.68/10,476 = 6,023.52/x
  3. Step 3: Cross multiply
    7,591.68x = 10,476 × 6,023.52
  4. Step 4: Simplify right side
    7,591.68x = 63,102,395.52
  5. Step 5: Solve for x
    x = 63,102,395.52/7,591.68
  6. Step 6: Final answer
    x = 8,312.05

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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.