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Finding the Fourth Proportional to 10,655.45, 15,987.77 and 5,719.31

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Solution

The fourth proportional to 10,655.45, 15,987.77 and 5,719.31 is: 8,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.45 : 15,987.77 = 5,719.31 : x
  2. Step 2: Convert to fraction form
    10,655.45/15,987.77 = 5,719.31/x
  3. Step 3: Cross multiply
    10,655.45x = 15,987.77 × 5,719.31
  4. Step 4: Simplify right side
    10,655.45x = 91,439,067.11
  5. Step 5: Solve for x
    x = 91,439,067.11/10,655.45
  6. Step 6: Final answer
    x = 8,581.44

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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.