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Finding the Fourth Proportional to 8,102.80, 11,182.08 and 4,565.80

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Solution

The fourth proportional to 8,102.80, 11,182.08 and 4,565.80 is: 6,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.80 : 11,182.08 = 4,565.80 : x
  2. Step 2: Convert to fraction form
    8,102.80/11,182.08 = 4,565.80/x
  3. Step 3: Cross multiply
    8,102.80x = 11,182.08 × 4,565.80
  4. Step 4: Simplify right side
    8,102.80x = 51,055,140.86
  5. Step 5: Solve for x
    x = 51,055,140.86/8,102.80
  6. Step 6: Final answer
    x = 6,300.93

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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.