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Finding the Fourth Proportional to 31,891.48, 47,835.28 and 11,897.13

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Solution

The fourth proportional to 31,891.48, 47,835.28 and 11,897.13 is: 17,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.48 : 47,835.28 = 11,897.13 : x
  2. Step 2: Convert to fraction form
    31,891.48/47,835.28 = 11,897.13/x
  3. Step 3: Cross multiply
    31,891.48x = 47,835.28 × 11,897.13
  4. Step 4: Simplify right side
    31,891.48x = 569,102,544.75
  5. Step 5: Solve for x
    x = 569,102,544.75/31,891.48
  6. Step 6: Final answer
    x = 17,844.97

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1.5x scale

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.