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Finding the Fourth Proportional to 10,471.66, 15,707.49 and 3,899.50

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Solution

The fourth proportional to 10,471.66, 15,707.49 and 3,899.50 is: 5,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.66 : 15,707.49 = 3,899.50 : x
  2. Step 2: Convert to fraction form
    10,471.66/15,707.49 = 3,899.50/x
  3. Step 3: Cross multiply
    10,471.66x = 15,707.49 × 3,899.50
  4. Step 4: Simplify right side
    10,471.66x = 61,251,357.26
  5. Step 5: Solve for x
    x = 61,251,357.26/10,471.66
  6. Step 6: Final answer
    x = 5,849.25

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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.