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Finding the Fourth Proportional to 27,006.80, 40,510.20 and 9,478.40

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Solution

The fourth proportional to 27,006.80, 40,510.20 and 9,478.40 is: 14,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.80 : 40,510.20 = 9,478.40 : x
  2. Step 2: Convert to fraction form
    27,006.80/40,510.20 = 9,478.40/x
  3. Step 3: Cross multiply
    27,006.80x = 40,510.20 × 9,478.40
  4. Step 4: Simplify right side
    27,006.80x = 383,971,879.68
  5. Step 5: Solve for x
    x = 383,971,879.68/27,006.80
  6. Step 6: Final answer
    x = 14,217.60

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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.