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Finding the Fourth Proportional to 14,701.13, 20,287.55 and 8,077.13

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Solution

The fourth proportional to 14,701.13, 20,287.55 and 8,077.13 is: 11,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.13 : 20,287.55 = 8,077.13 : x
  2. Step 2: Convert to fraction form
    14,701.13/20,287.55 = 8,077.13/x
  3. Step 3: Cross multiply
    14,701.13x = 20,287.55 × 8,077.13
  4. Step 4: Simplify right side
    14,701.13x = 163,865,097.49
  5. Step 5: Solve for x
    x = 163,865,097.49/14,701.13
  6. Step 6: Final answer
    x = 11,146.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.