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Finding the Fourth Proportional to 10,077.20, 15,101.01 and 5,072.70

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Solution

The fourth proportional to 10,077.20, 15,101.01 and 5,072.70 is: 7,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.20 : 15,101.01 = 5,072.70 : x
  2. Step 2: Convert to fraction form
    10,077.20/15,101.01 = 5,072.70/x
  3. Step 3: Cross multiply
    10,077.20x = 15,101.01 × 5,072.70
  4. Step 4: Simplify right side
    10,077.20x = 76,602,893.43
  5. Step 5: Solve for x
    x = 76,602,893.43/10,077.20
  6. Step 6: Final answer
    x = 7,601.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.