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Finding the Fourth Proportional to 5,663.80, 7,815.84 and 3,146.08

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Solution

The fourth proportional to 5,663.80, 7,815.84 and 3,146.08 is: 4,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.80 : 7,815.84 = 3,146.08 : x
  2. Step 2: Convert to fraction form
    5,663.80/7,815.84 = 3,146.08/x
  3. Step 3: Cross multiply
    5,663.80x = 7,815.84 × 3,146.08
  4. Step 4: Simplify right side
    5,663.80x = 24,589,203.10
  5. Step 5: Solve for x
    x = 24,589,203.10/5,663.80
  6. Step 6: Final answer
    x = 4,341.47

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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.