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Finding the Fourth Proportional to 5,441.76, 7,509.76 and 2,957.76

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Solution

The fourth proportional to 5,441.76, 7,509.76 and 2,957.76 is: 4,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.76 : 7,509.76 = 2,957.76 : x
  2. Step 2: Convert to fraction form
    5,441.76/7,509.76 = 2,957.76/x
  3. Step 3: Cross multiply
    5,441.76x = 7,509.76 × 2,957.76
  4. Step 4: Simplify right side
    5,441.76x = 22,212,067.74
  5. Step 5: Solve for x
    x = 22,212,067.74/5,441.76
  6. Step 6: Final answer
    x = 4,081.78

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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.