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Finding the Fourth Proportional to 14,704, 20,291.76 and 8,419.84

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Solution

The fourth proportional to 14,704, 20,291.76 and 8,419.84 is: 11,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704 : 20,291.76 = 8,419.84 : x
  2. Step 2: Convert to fraction form
    14,704/20,291.76 = 8,419.84/x
  3. Step 3: Cross multiply
    14,704x = 20,291.76 × 8,419.84
  4. Step 4: Simplify right side
    14,704x = 170,853,372.52
  5. Step 5: Solve for x
    x = 170,853,372.52/14,704
  6. Step 6: Final answer
    x = 11,619.52

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1.5x scale

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.