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Finding the Fourth Proportional to 5,407.65, 8,111.48 and 4,694.85

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Solution

The fourth proportional to 5,407.65, 8,111.48 and 4,694.85 is: 7,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.65 : 8,111.48 = 4,694.85 : x
  2. Step 2: Convert to fraction form
    5,407.65/8,111.48 = 4,694.85/x
  3. Step 3: Cross multiply
    5,407.65x = 8,111.48 × 4,694.85
  4. Step 4: Simplify right side
    5,407.65x = 38,082,158.40
  5. Step 5: Solve for x
    x = 38,082,158.40/5,407.65
  6. Step 6: Final answer
    x = 7,042.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.