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Finding the Fourth Proportional to 7,143.67, 9,856.34 and 4,347.19

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Solution

The fourth proportional to 7,143.67, 9,856.34 and 4,347.19 is: 5,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.67 : 9,856.34 = 4,347.19 : x
  2. Step 2: Convert to fraction form
    7,143.67/9,856.34 = 4,347.19/x
  3. Step 3: Cross multiply
    7,143.67x = 9,856.34 × 4,347.19
  4. Step 4: Simplify right side
    7,143.67x = 42,847,360.95
  5. Step 5: Solve for x
    x = 42,847,360.95/7,143.67
  6. Step 6: Final answer
    x = 5,997.95

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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.