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Finding the Fourth Proportional to 7,842.76, 10,825.28 and 4,487.48

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Solution

The fourth proportional to 7,842.76, 10,825.28 and 4,487.48 is: 6,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.76 : 10,825.28 = 4,487.48 : x
  2. Step 2: Convert to fraction form
    7,842.76/10,825.28 = 4,487.48/x
  3. Step 3: Cross multiply
    7,842.76x = 10,825.28 × 4,487.48
  4. Step 4: Simplify right side
    7,842.76x = 48,578,227.49
  5. Step 5: Solve for x
    x = 48,578,227.49/7,842.76
  6. Step 6: Final answer
    x = 6,194.02

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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.