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Finding the Fourth Proportional to 10,405.72, 14,359.86 and 6,159.72

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Solution

The fourth proportional to 10,405.72, 14,359.86 and 6,159.72 is: 8,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.72 : 14,359.86 = 6,159.72 : x
  2. Step 2: Convert to fraction form
    10,405.72/14,359.86 = 6,159.72/x
  3. Step 3: Cross multiply
    10,405.72x = 14,359.86 × 6,159.72
  4. Step 4: Simplify right side
    10,405.72x = 88,452,716.84
  5. Step 5: Solve for x
    x = 88,452,716.84/10,405.72
  6. Step 6: Final answer
    x = 8,500.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.