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Finding the Fourth Proportional to 9,959.61, 13,743.68 and 5,709.77

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Solution

The fourth proportional to 9,959.61, 13,743.68 and 5,709.77 is: 7,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.61 : 13,743.68 = 5,709.77 : x
  2. Step 2: Convert to fraction form
    9,959.61/13,743.68 = 5,709.77/x
  3. Step 3: Cross multiply
    9,959.61x = 13,743.68 × 5,709.77
  4. Step 4: Simplify right side
    9,959.61x = 78,473,154.49
  5. Step 5: Solve for x
    x = 78,473,154.49/9,959.61
  6. Step 6: Final answer
    x = 7,879.14

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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.