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Finding the Fourth Proportional to 10,285.10, 15,460.05 and 10,090.70

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Solution

The fourth proportional to 10,285.10, 15,460.05 and 10,090.70 is: 15,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.10 : 15,460.05 = 10,090.70 : x
  2. Step 2: Convert to fraction form
    10,285.10/15,460.05 = 10,090.70/x
  3. Step 3: Cross multiply
    10,285.10x = 15,460.05 × 10,090.70
  4. Step 4: Simplify right side
    10,285.10x = 156,002,726.54
  5. Step 5: Solve for x
    x = 156,002,726.54/10,285.10
  6. Step 6: Final answer
    x = 15,167.84

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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.