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Finding the Fourth Proportional to 21,013.83, 31,524.80 and 7,865.91

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Solution

The fourth proportional to 21,013.83, 31,524.80 and 7,865.91 is: 11,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.83 : 31,524.80 = 7,865.91 : x
  2. Step 2: Convert to fraction form
    21,013.83/31,524.80 = 7,865.91/x
  3. Step 3: Cross multiply
    21,013.83x = 31,524.80 × 7,865.91
  4. Step 4: Simplify right side
    21,013.83x = 247,971,200.24
  5. Step 5: Solve for x
    x = 247,971,200.24/21,013.83
  6. Step 6: Final answer
    x = 11,800.38

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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.