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Finding the Fourth Proportional to 10,294.40, 15,425.12 and 10,021.02

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Solution

The fourth proportional to 10,294.40, 15,425.12 and 10,021.02 is: 15,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.40 : 15,425.12 = 10,021.02 : x
  2. Step 2: Convert to fraction form
    10,294.40/15,425.12 = 10,021.02/x
  3. Step 3: Cross multiply
    10,294.40x = 15,425.12 × 10,021.02
  4. Step 4: Simplify right side
    10,294.40x = 154,575,436.02
  5. Step 5: Solve for x
    x = 154,575,436.02/10,294.40
  6. Step 6: Final answer
    x = 15,015.49

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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.