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Finding the Fourth Proportional to 10,007.14, 15,020.12 and 5,080.31

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Solution

The fourth proportional to 10,007.14, 15,020.12 and 5,080.31 is: 7,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.14 : 15,020.12 = 5,080.31 : x
  2. Step 2: Convert to fraction form
    10,007.14/15,020.12 = 5,080.31/x
  3. Step 3: Cross multiply
    10,007.14x = 15,020.12 × 5,080.31
  4. Step 4: Simplify right side
    10,007.14x = 76,306,865.84
  5. Step 5: Solve for x
    x = 76,306,865.84/10,007.14
  6. Step 6: Final answer
    x = 7,625.24

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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.