Home / 3,138.32-4,707.84-947.18

Finding the Fourth Proportional to 3,138.32, 4,707.84 and 947.18

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Solution

The fourth proportional to 3,138.32, 4,707.84 and 947.18 is: 1,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.32 : 4,707.84 = 947.18 : x
  2. Step 2: Convert to fraction form
    3,138.32/4,707.84 = 947.18/x
  3. Step 3: Cross multiply
    3,138.32x = 4,707.84 × 947.18
  4. Step 4: Simplify right side
    3,138.32x = 4,459,171.89
  5. Step 5: Solve for x
    x = 4,459,171.89/3,138.32
  6. Step 6: Final answer
    x = 1,420.88

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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.