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Finding the Fourth Proportional to 5,588.91, 7,712.80 and 3,071.25

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Solution

The fourth proportional to 5,588.91, 7,712.80 and 3,071.25 is: 4,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.91 : 7,712.80 = 3,071.25 : x
  2. Step 2: Convert to fraction form
    5,588.91/7,712.80 = 3,071.25/x
  3. Step 3: Cross multiply
    5,588.91x = 7,712.80 × 3,071.25
  4. Step 4: Simplify right side
    5,588.91x = 23,687,929.32
  5. Step 5: Solve for x
    x = 23,687,929.32/5,588.91
  6. Step 6: Final answer
    x = 4,238.38

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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.