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Finding the Fourth Proportional to 27,145.20, 40,717.80 and 9,616.80

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Solution

The fourth proportional to 27,145.20, 40,717.80 and 9,616.80 is: 14,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.20 : 40,717.80 = 9,616.80 : x
  2. Step 2: Convert to fraction form
    27,145.20/40,717.80 = 9,616.80/x
  3. Step 3: Cross multiply
    27,145.20x = 40,717.80 × 9,616.80
  4. Step 4: Simplify right side
    27,145.20x = 391,574,939.04
  5. Step 5: Solve for x
    x = 391,574,939.04/27,145.20
  6. Step 6: Final answer
    x = 14,425.20

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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.