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Finding the Fourth Proportional to 10,292.40, 15,422.13 and 10,019.03

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Solution

The fourth proportional to 10,292.40, 15,422.13 and 10,019.03 is: 15,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.40 : 15,422.13 = 10,019.03 : x
  2. Step 2: Convert to fraction form
    10,292.40/15,422.13 = 10,019.03/x
  3. Step 3: Cross multiply
    10,292.40x = 15,422.13 × 10,019.03
  4. Step 4: Simplify right side
    10,292.40x = 154,514,706.02
  5. Step 5: Solve for x
    x = 154,514,706.02/10,292.40
  6. Step 6: Final answer
    x = 15,012.50

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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.