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Finding the Fourth Proportional to 10,478.18, 15,707.88 and 3,899.88

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Solution

The fourth proportional to 10,478.18, 15,707.88 and 3,899.88 is: 5,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.18 : 15,707.88 = 3,899.88 : x
  2. Step 2: Convert to fraction form
    10,478.18/15,707.88 = 3,899.88/x
  3. Step 3: Cross multiply
    10,478.18x = 15,707.88 × 3,899.88
  4. Step 4: Simplify right side
    10,478.18x = 61,258,847.05
  5. Step 5: Solve for x
    x = 61,258,847.05/10,478.18
  6. Step 6: Final answer
    x = 5,846.32

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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.