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Finding the Fourth Proportional to 6,402.30, 9,610.65 and 4,947.90

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Solution

The fourth proportional to 6,402.30, 9,610.65 and 4,947.90 is: 7,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.30 : 9,610.65 = 4,947.90 : x
  2. Step 2: Convert to fraction form
    6,402.30/9,610.65 = 4,947.90/x
  3. Step 3: Cross multiply
    6,402.30x = 9,610.65 × 4,947.90
  4. Step 4: Simplify right side
    6,402.30x = 47,552,535.14
  5. Step 5: Solve for x
    x = 47,552,535.14/6,402.30
  6. Step 6: Final answer
    x = 7,427.41

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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.