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Finding the Fourth Proportional to 5,743.85, 7,920.68 and 5,409

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Solution

The fourth proportional to 5,743.85, 7,920.68 and 5,409 is: 7,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.85 : 7,920.68 = 5,409 : x
  2. Step 2: Convert to fraction form
    5,743.85/7,920.68 = 5,409/x
  3. Step 3: Cross multiply
    5,743.85x = 7,920.68 × 5,409
  4. Step 4: Simplify right side
    5,743.85x = 42,842,958.12
  5. Step 5: Solve for x
    x = 42,842,958.12/5,743.85
  6. Step 6: Final answer
    x = 7,458.93

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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.