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Finding the Fourth Proportional to 5,666.80, 7,820.16 and 3,182.80

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Solution

The fourth proportional to 5,666.80, 7,820.16 and 3,182.80 is: 4,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.80 : 7,820.16 = 3,182.80 : x
  2. Step 2: Convert to fraction form
    5,666.80/7,820.16 = 3,182.80/x
  3. Step 3: Cross multiply
    5,666.80x = 7,820.16 × 3,182.80
  4. Step 4: Simplify right side
    5,666.80x = 24,890,005.25
  5. Step 5: Solve for x
    x = 24,890,005.25/5,666.80
  6. Step 6: Final answer
    x = 4,392.25

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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.