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Finding the Fourth Proportional to 10,086.40, 15,129.60 and 9,523.20

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Solution

The fourth proportional to 10,086.40, 15,129.60 and 9,523.20 is: 14,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.40 : 15,129.60 = 9,523.20 : x
  2. Step 2: Convert to fraction form
    10,086.40/15,129.60 = 9,523.20/x
  3. Step 3: Cross multiply
    10,086.40x = 15,129.60 × 9,523.20
  4. Step 4: Simplify right side
    10,086.40x = 144,082,206.72
  5. Step 5: Solve for x
    x = 144,082,206.72/10,086.40
  6. Step 6: Final answer
    x = 14,284.80

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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.