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Finding the Fourth Proportional to 14,701, 20,288.66 and 8,078.28

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Solution

The fourth proportional to 14,701, 20,288.66 and 8,078.28 is: 11,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701 : 20,288.66 = 8,078.28 : x
  2. Step 2: Convert to fraction form
    14,701/20,288.66 = 8,078.28/x
  3. Step 3: Cross multiply
    14,701x = 20,288.66 × 8,078.28
  4. Step 4: Simplify right side
    14,701x = 163,897,476.30
  5. Step 5: Solve for x
    x = 163,897,476.30/14,701
  6. Step 6: Final answer
    x = 11,148.73

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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.