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Finding the Fourth Proportional to 21,308.88, 31,959 and 5,726.64

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Solution

The fourth proportional to 21,308.88, 31,959 and 5,726.64 is: 8,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.88 : 31,959 = 5,726.64 : x
  2. Step 2: Convert to fraction form
    21,308.88/31,959 = 5,726.64/x
  3. Step 3: Cross multiply
    21,308.88x = 31,959 × 5,726.64
  4. Step 4: Simplify right side
    21,308.88x = 183,017,687.76
  5. Step 5: Solve for x
    x = 183,017,687.76/21,308.88
  6. Step 6: Final answer
    x = 8,588.80

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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.