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Finding the Fourth Proportional to 10,229.80, 15,341.10 and 4,685.80

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Solution

The fourth proportional to 10,229.80, 15,341.10 and 4,685.80 is: 7,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.80 : 15,341.10 = 4,685.80 : x
  2. Step 2: Convert to fraction form
    10,229.80/15,341.10 = 4,685.80/x
  3. Step 3: Cross multiply
    10,229.80x = 15,341.10 × 4,685.80
  4. Step 4: Simplify right side
    10,229.80x = 71,885,326.38
  5. Step 5: Solve for x
    x = 71,885,326.38/10,229.80
  6. Step 6: Final answer
    x = 7,027.05

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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.