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Finding the Fourth Proportional to 14,446.64, 19,936.52 and 8,478.42

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Solution

The fourth proportional to 14,446.64, 19,936.52 and 8,478.42 is: 11,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.64 : 19,936.52 = 8,478.42 : x
  2. Step 2: Convert to fraction form
    14,446.64/19,936.52 = 8,478.42/x
  3. Step 3: Cross multiply
    14,446.64x = 19,936.52 × 8,478.42
  4. Step 4: Simplify right side
    14,446.64x = 169,030,189.90
  5. Step 5: Solve for x
    x = 169,030,189.90/14,446.64
  6. Step 6: Final answer
    x = 11,700.31

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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.