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Finding the Fourth Proportional to 15,646, 23,447.76 and 5,775.76

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Solution

The fourth proportional to 15,646, 23,447.76 and 5,775.76 is: 8,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646 : 23,447.76 = 5,775.76 : x
  2. Step 2: Convert to fraction form
    15,646/23,447.76 = 5,775.76/x
  3. Step 3: Cross multiply
    15,646x = 23,447.76 × 5,775.76
  4. Step 4: Simplify right side
    15,646x = 135,428,634.30
  5. Step 5: Solve for x
    x = 135,428,634.30/15,646
  6. Step 6: Final answer
    x = 8,655.80

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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.