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Finding the Fourth Proportional to 5,646.65, 8,470.87 and 1,947.96

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Solution

The fourth proportional to 5,646.65, 8,470.87 and 1,947.96 is: 2,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.65 : 8,470.87 = 1,947.96 : x
  2. Step 2: Convert to fraction form
    5,646.65/8,470.87 = 1,947.96/x
  3. Step 3: Cross multiply
    5,646.65x = 8,470.87 × 1,947.96
  4. Step 4: Simplify right side
    5,646.65x = 16,500,911.06
  5. Step 5: Solve for x
    x = 16,500,911.06/5,646.65
  6. Step 6: Final answer
    x = 2,922.25

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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.