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Finding the Fourth Proportional to 5,687.36, 7,840.92 and 5,104.16

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Solution

The fourth proportional to 5,687.36, 7,840.92 and 5,104.16 is: 7,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.36 : 7,840.92 = 5,104.16 : x
  2. Step 2: Convert to fraction form
    5,687.36/7,840.92 = 5,104.16/x
  3. Step 3: Cross multiply
    5,687.36x = 7,840.92 × 5,104.16
  4. Step 4: Simplify right side
    5,687.36x = 40,021,310.23
  5. Step 5: Solve for x
    x = 40,021,310.23/5,687.36
  6. Step 6: Final answer
    x = 7,036.89

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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.