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Finding the Fourth Proportional to 7,422, 10,242.36 and 4,627.50

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Solution

The fourth proportional to 7,422, 10,242.36 and 4,627.50 is: 6,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422 : 10,242.36 = 4,627.50 : x
  2. Step 2: Convert to fraction form
    7,422/10,242.36 = 4,627.50/x
  3. Step 3: Cross multiply
    7,422x = 10,242.36 × 4,627.50
  4. Step 4: Simplify right side
    7,422x = 47,396,520.90
  5. Step 5: Solve for x
    x = 47,396,520.90/7,422
  6. Step 6: Final answer
    x = 6,385.95

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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.