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Finding the Fourth Proportional to 20,701.68, 28,601.72 and 14,442

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Solution

The fourth proportional to 20,701.68, 28,601.72 and 14,442 is: 19,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,701.68 : 28,601.72 = 14,442 : x
  2. Step 2: Convert to fraction form
    20,701.68/28,601.72 = 14,442/x
  3. Step 3: Cross multiply
    20,701.68x = 28,601.72 × 14,442
  4. Step 4: Simplify right side
    20,701.68x = 413,066,040.24
  5. Step 5: Solve for x
    x = 413,066,040.24/20,701.68
  6. Step 6: Final answer
    x = 19,953.26

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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.