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Finding the Fourth Proportional to 21,859.92, 32,782.59 and 7,064.87

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Solution

The fourth proportional to 21,859.92, 32,782.59 and 7,064.87 is: 10,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859.92 : 32,782.59 = 7,064.87 : x
  2. Step 2: Convert to fraction form
    21,859.92/32,782.59 = 7,064.87/x
  3. Step 3: Cross multiply
    21,859.92x = 32,782.59 × 7,064.87
  4. Step 4: Simplify right side
    21,859.92x = 231,604,572.70
  5. Step 5: Solve for x
    x = 231,604,572.70/21,859.92
  6. Step 6: Final answer
    x = 10,594.94

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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.