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Finding the Fourth Proportional to 3,476,635.68, 4,797,978.96 and 1,948,743.20

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Solution

The fourth proportional to 3,476,635.68, 4,797,978.96 and 1,948,743.20 is: 2,689,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,635.68 : 4,797,978.96 = 1,948,743.20 : x
  2. Step 2: Convert to fraction form
    3,476,635.68/4,797,978.96 = 1,948,743.20/x
  3. Step 3: Cross multiply
    3,476,635.68x = 4,797,978.96 × 1,948,743.20
  4. Step 4: Simplify right side
    3,476,635.68x = 9,350,028,872,043.07
  5. Step 5: Solve for x
    x = 9,350,028,872,043.07/3,476,635.68
  6. Step 6: Final answer
    x = 2,689,389.90

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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.