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Finding the Fourth Proportional to 27,000.36, 40,500.48 and 9,475.20

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Solution

The fourth proportional to 27,000.36, 40,500.48 and 9,475.20 is: 14,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000.36 : 40,500.48 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    27,000.36/40,500.48 = 9,475.20/x
  3. Step 3: Cross multiply
    27,000.36x = 40,500.48 × 9,475.20
  4. Step 4: Simplify right side
    27,000.36x = 383,750,148.10
  5. Step 5: Solve for x
    x = 383,750,148.10/27,000.36
  6. Step 6: Final answer
    x = 14,212.78

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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.