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Finding the Fourth Proportional to 5,290.65, 7,934.90 and 2,169.93

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Solution

The fourth proportional to 5,290.65, 7,934.90 and 2,169.93 is: 3,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.65 : 7,934.90 = 2,169.93 : x
  2. Step 2: Convert to fraction form
    5,290.65/7,934.90 = 2,169.93/x
  3. Step 3: Cross multiply
    5,290.65x = 7,934.90 × 2,169.93
  4. Step 4: Simplify right side
    5,290.65x = 17,218,166.71
  5. Step 5: Solve for x
    x = 17,218,166.71/5,290.65
  6. Step 6: Final answer
    x = 3,254.45

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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.