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Finding the Fourth Proportional to 7,239.08, 9,985.19 and 5,744.63

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Solution

The fourth proportional to 7,239.08, 9,985.19 and 5,744.63 is: 7,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.08 : 9,985.19 = 5,744.63 : x
  2. Step 2: Convert to fraction form
    7,239.08/9,985.19 = 5,744.63/x
  3. Step 3: Cross multiply
    7,239.08x = 9,985.19 × 5,744.63
  4. Step 4: Simplify right side
    7,239.08x = 57,361,143.38
  5. Step 5: Solve for x
    x = 57,361,143.38/7,239.08
  6. Step 6: Final answer
    x = 7,923.82

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1.5x scale

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.