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Finding the Fourth Proportional to 5,842.75, 8,721.76 and 5,409.15

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Solution

The fourth proportional to 5,842.75, 8,721.76 and 5,409.15 is: 8,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.75 : 8,721.76 = 5,409.15 : x
  2. Step 2: Convert to fraction form
    5,842.75/8,721.76 = 5,409.15/x
  3. Step 3: Cross multiply
    5,842.75x = 8,721.76 × 5,409.15
  4. Step 4: Simplify right side
    5,842.75x = 47,177,308.10
  5. Step 5: Solve for x
    x = 47,177,308.10/5,842.75
  6. Step 6: Final answer
    x = 8,074.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.