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Finding the Fourth Proportional to 10,325.10, 15,520.05 and 9,741.90

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Solution

The fourth proportional to 10,325.10, 15,520.05 and 9,741.90 is: 14,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.10 : 15,520.05 = 9,741.90 : x
  2. Step 2: Convert to fraction form
    10,325.10/15,520.05 = 9,741.90/x
  3. Step 3: Cross multiply
    10,325.10x = 15,520.05 × 9,741.90
  4. Step 4: Simplify right side
    10,325.10x = 151,194,775.10
  5. Step 5: Solve for x
    x = 151,194,775.10/10,325.10
  6. Step 6: Final answer
    x = 14,643.42

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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.