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Finding the Fourth Proportional to 21,659.88, 32,491.02 and 6,870

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Solution

The fourth proportional to 21,659.88, 32,491.02 and 6,870 is: 10,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.88 : 32,491.02 = 6,870 : x
  2. Step 2: Convert to fraction form
    21,659.88/32,491.02 = 6,870/x
  3. Step 3: Cross multiply
    21,659.88x = 32,491.02 × 6,870
  4. Step 4: Simplify right side
    21,659.88x = 223,213,307.40
  5. Step 5: Solve for x
    x = 223,213,307.40/21,659.88
  6. Step 6: Final answer
    x = 10,305.38

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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.