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Finding the Fourth Proportional to 6,643.96, 9,959.10 and 2,947.93

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Solution

The fourth proportional to 6,643.96, 9,959.10 and 2,947.93 is: 4,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.96 : 9,959.10 = 2,947.93 : x
  2. Step 2: Convert to fraction form
    6,643.96/9,959.10 = 2,947.93/x
  3. Step 3: Cross multiply
    6,643.96x = 9,959.10 × 2,947.93
  4. Step 4: Simplify right side
    6,643.96x = 29,358,693.71
  5. Step 5: Solve for x
    x = 29,358,693.71/6,643.96
  6. Step 6: Final answer
    x = 4,418.86

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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.