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Finding the Fourth Proportional to 7,141.84, 9,856.95 and 4,159.43

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Solution

The fourth proportional to 7,141.84, 9,856.95 and 4,159.43 is: 5,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.84 : 9,856.95 = 4,159.43 : x
  2. Step 2: Convert to fraction form
    7,141.84/9,856.95 = 4,159.43/x
  3. Step 3: Cross multiply
    7,141.84x = 9,856.95 × 4,159.43
  4. Step 4: Simplify right side
    7,141.84x = 40,999,293.54
  5. Step 5: Solve for x
    x = 40,999,293.54/7,141.84
  6. Step 6: Final answer
    x = 5,740.72

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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.