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Finding the Fourth Proportional to 7,142.76, 9,856.50 and 4,158.48

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Solution

The fourth proportional to 7,142.76, 9,856.50 and 4,158.48 is: 5,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.76 : 9,856.50 = 4,158.48 : x
  2. Step 2: Convert to fraction form
    7,142.76/9,856.50 = 4,158.48/x
  3. Step 3: Cross multiply
    7,142.76x = 9,856.50 × 4,158.48
  4. Step 4: Simplify right side
    7,142.76x = 40,988,058.12
  5. Step 5: Solve for x
    x = 40,988,058.12/7,142.76
  6. Step 6: Final answer
    x = 5,738.41

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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.