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Finding the Fourth Proportional to 14,871.42, 20,471.04 and 12,853.90

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Solution

The fourth proportional to 14,871.42, 20,471.04 and 12,853.90 is: 17,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.42 : 20,471.04 = 12,853.90 : x
  2. Step 2: Convert to fraction form
    14,871.42/20,471.04 = 12,853.90/x
  3. Step 3: Cross multiply
    14,871.42x = 20,471.04 × 12,853.90
  4. Step 4: Simplify right side
    14,871.42x = 263,132,701.06
  5. Step 5: Solve for x
    x = 263,132,701.06/14,871.42
  6. Step 6: Final answer
    x = 17,693.85

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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.