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Finding the Fourth Proportional to 21,659.95, 32,489.73 and 6,868.48

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Solution

The fourth proportional to 21,659.95, 32,489.73 and 6,868.48 is: 10,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.95 : 32,489.73 = 6,868.48 : x
  2. Step 2: Convert to fraction form
    21,659.95/32,489.73 = 6,868.48/x
  3. Step 3: Cross multiply
    21,659.95x = 32,489.73 × 6,868.48
  4. Step 4: Simplify right side
    21,659.95x = 223,155,060.71
  5. Step 5: Solve for x
    x = 223,155,060.71/21,659.95
  6. Step 6: Final answer
    x = 10,302.66

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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.