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Finding the Fourth Proportional to 5,697.48, 7,856 and 4,799.90

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Solution

The fourth proportional to 5,697.48, 7,856 and 4,799.90 is: 6,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.48 : 7,856 = 4,799.90 : x
  2. Step 2: Convert to fraction form
    5,697.48/7,856 = 4,799.90/x
  3. Step 3: Cross multiply
    5,697.48x = 7,856 × 4,799.90
  4. Step 4: Simplify right side
    5,697.48x = 37,708,014.40
  5. Step 5: Solve for x
    x = 37,708,014.40/5,697.48
  6. Step 6: Final answer
    x = 6,618.37

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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.