Home / 31,886.72-47,830-15,196.16

Finding the Fourth Proportional to 31,886.72, 47,830 and 15,196.16

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Solution

The fourth proportional to 31,886.72, 47,830 and 15,196.16 is: 22,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.72 : 47,830 = 15,196.16 : x
  2. Step 2: Convert to fraction form
    31,886.72/47,830 = 15,196.16/x
  3. Step 3: Cross multiply
    31,886.72x = 47,830 × 15,196.16
  4. Step 4: Simplify right side
    31,886.72x = 726,832,332.80
  5. Step 5: Solve for x
    x = 726,832,332.80/31,886.72
  6. Step 6: Final answer
    x = 22,794.20

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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.