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Finding the Fourth Proportional to 13,422.98, 20,134.47 and 4,657.90

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Solution

The fourth proportional to 13,422.98, 20,134.47 and 4,657.90 is: 6,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.98 : 20,134.47 = 4,657.90 : x
  2. Step 2: Convert to fraction form
    13,422.98/20,134.47 = 4,657.90/x
  3. Step 3: Cross multiply
    13,422.98x = 20,134.47 × 4,657.90
  4. Step 4: Simplify right side
    13,422.98x = 93,784,347.81
  5. Step 5: Solve for x
    x = 93,784,347.81/13,422.98
  6. Step 6: Final answer
    x = 6,986.85

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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.