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Finding the Fourth Proportional to 10,420.11, 15,640.74 and 9,241.88

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Solution

The fourth proportional to 10,420.11, 15,640.74 and 9,241.88 is: 13,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.11 : 15,640.74 = 9,241.88 : x
  2. Step 2: Convert to fraction form
    10,420.11/15,640.74 = 9,241.88/x
  3. Step 3: Cross multiply
    10,420.11x = 15,640.74 × 9,241.88
  4. Step 4: Simplify right side
    10,420.11x = 144,549,763.99
  5. Step 5: Solve for x
    x = 144,549,763.99/10,420.11
  6. Step 6: Final answer
    x = 13,872.19

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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.