Home / 31,480-47,228.10-11,758.70

Finding the Fourth Proportional to 31,480, 47,228.10 and 11,758.70

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Solution

The fourth proportional to 31,480, 47,228.10 and 11,758.70 is: 17,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480 : 47,228.10 = 11,758.70 : x
  2. Step 2: Convert to fraction form
    31,480/47,228.10 = 11,758.70/x
  3. Step 3: Cross multiply
    31,480x = 47,228.10 × 11,758.70
  4. Step 4: Simplify right side
    31,480x = 555,341,059.47
  5. Step 5: Solve for x
    x = 555,341,059.47/31,480
  6. Step 6: Final answer
    x = 17,641.08

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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.