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Finding the Fourth Proportional to 5,250.28, 7,878.57 and 4,712.44

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Solution

The fourth proportional to 5,250.28, 7,878.57 and 4,712.44 is: 7,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.28 : 7,878.57 = 4,712.44 : x
  2. Step 2: Convert to fraction form
    5,250.28/7,878.57 = 4,712.44/x
  3. Step 3: Cross multiply
    5,250.28x = 7,878.57 × 4,712.44
  4. Step 4: Simplify right side
    5,250.28x = 37,127,288.41
  5. Step 5: Solve for x
    x = 37,127,288.41/5,250.28
  6. Step 6: Final answer
    x = 7,071.49

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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.