Home / 31,742.20-47,616.54-10,963

Finding the Fourth Proportional to 31,742.20, 47,616.54 and 10,963

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Solution

The fourth proportional to 31,742.20, 47,616.54 and 10,963 is: 16,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.20 : 47,616.54 = 10,963 : x
  2. Step 2: Convert to fraction form
    31,742.20/47,616.54 = 10,963/x
  3. Step 3: Cross multiply
    31,742.20x = 47,616.54 × 10,963
  4. Step 4: Simplify right side
    31,742.20x = 522,020,128.02
  5. Step 5: Solve for x
    x = 522,020,128.02/31,742.20
  6. Step 6: Final answer
    x = 16,445.62

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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.