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Finding the Fourth Proportional to 27,017.40, 40,496.40 and 9,478.20

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Solution

The fourth proportional to 27,017.40, 40,496.40 and 9,478.20 is: 14,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017.40 : 40,496.40 = 9,478.20 : x
  2. Step 2: Convert to fraction form
    27,017.40/40,496.40 = 9,478.20/x
  3. Step 3: Cross multiply
    27,017.40x = 40,496.40 × 9,478.20
  4. Step 4: Simplify right side
    27,017.40x = 383,832,978.48
  5. Step 5: Solve for x
    x = 383,832,978.48/27,017.40
  6. Step 6: Final answer
    x = 14,206.88

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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.