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Finding the Fourth Proportional to 5,307.72, 7,961.57 and 2,388.48

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Solution

The fourth proportional to 5,307.72, 7,961.57 and 2,388.48 is: 3,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.72 : 7,961.57 = 2,388.48 : x
  2. Step 2: Convert to fraction form
    5,307.72/7,961.57 = 2,388.48/x
  3. Step 3: Cross multiply
    5,307.72x = 7,961.57 × 2,388.48
  4. Step 4: Simplify right side
    5,307.72x = 19,016,050.71
  5. Step 5: Solve for x
    x = 19,016,050.71/5,307.72
  6. Step 6: Final answer
    x = 3,582.72

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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.