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Finding the Fourth Proportional to 8,390.92, 11,559.44 and 5,868.30

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Solution

The fourth proportional to 8,390.92, 11,559.44 and 5,868.30 is: 8,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.92 : 11,559.44 = 5,868.30 : x
  2. Step 2: Convert to fraction form
    8,390.92/11,559.44 = 5,868.30/x
  3. Step 3: Cross multiply
    8,390.92x = 11,559.44 × 5,868.30
  4. Step 4: Simplify right side
    8,390.92x = 67,834,261.75
  5. Step 5: Solve for x
    x = 67,834,261.75/8,390.92
  6. Step 6: Final answer
    x = 8,084.25

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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.