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Finding the Fourth Proportional to 27,826.80, 38,401.00 and 15,080.10

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Solution

The fourth proportional to 27,826.80, 38,401.00 and 15,080.10 is: 20,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.80 : 38,401.00 = 15,080.10 : x
  2. Step 2: Convert to fraction form
    27,826.80/38,401.00 = 15,080.10/x
  3. Step 3: Cross multiply
    27,826.80x = 38,401.00 × 15,080.10
  4. Step 4: Simplify right side
    27,826.80x = 579,090,882.40
  5. Step 5: Solve for x
    x = 579,090,882.40/27,826.80
  6. Step 6: Final answer
    x = 20,810.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.