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Finding the Fourth Proportional to 5,297.92, 7,948.80 and 2,560

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Solution

The fourth proportional to 5,297.92, 7,948.80 and 2,560 is: 3,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.92 : 7,948.80 = 2,560 : x
  2. Step 2: Convert to fraction form
    5,297.92/7,948.80 = 2,560/x
  3. Step 3: Cross multiply
    5,297.92x = 7,948.80 × 2,560
  4. Step 4: Simplify right side
    5,297.92x = 20,348,928
  5. Step 5: Solve for x
    x = 20,348,928/5,297.92
  6. Step 6: Final answer
    x = 3,840.93

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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.