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Finding the Fourth Proportional to 7,761.80, 10,721.54 and 5,749.30

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Solution

The fourth proportional to 7,761.80, 10,721.54 and 5,749.30 is: 7,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.80 : 10,721.54 = 5,749.30 : x
  2. Step 2: Convert to fraction form
    7,761.80/10,721.54 = 5,749.30/x
  3. Step 3: Cross multiply
    7,761.80x = 10,721.54 × 5,749.30
  4. Step 4: Simplify right side
    7,761.80x = 61,641,391.68
  5. Step 5: Solve for x
    x = 61,641,391.68/7,761.80
  6. Step 6: Final answer
    x = 7,941.64

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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.