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Finding the Fourth Proportional to 6,458.52, 9,687.89 and 2,948.39

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Solution

The fourth proportional to 6,458.52, 9,687.89 and 2,948.39 is: 4,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.52 : 9,687.89 = 2,948.39 : x
  2. Step 2: Convert to fraction form
    6,458.52/9,687.89 = 2,948.39/x
  3. Step 3: Cross multiply
    6,458.52x = 9,687.89 × 2,948.39
  4. Step 4: Simplify right side
    6,458.52x = 28,563,678.00
  5. Step 5: Solve for x
    x = 28,563,678.00/6,458.52
  6. Step 6: Final answer
    x = 4,422.64

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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.