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Finding the Fourth Proportional to 7,118.79, 9,822.26 and 4,132.82

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Solution

The fourth proportional to 7,118.79, 9,822.26 and 4,132.82 is: 5,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.79 : 9,822.26 = 4,132.82 : x
  2. Step 2: Convert to fraction form
    7,118.79/9,822.26 = 4,132.82/x
  3. Step 3: Cross multiply
    7,118.79x = 9,822.26 × 4,132.82
  4. Step 4: Simplify right side
    7,118.79x = 40,593,667.46
  5. Step 5: Solve for x
    x = 40,593,667.46/7,118.79
  6. Step 6: Final answer
    x = 5,702.33

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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.