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Finding the Fourth Proportional to 5,644, 7,788.72 and 3,160

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Solution

The fourth proportional to 5,644, 7,788.72 and 3,160 is: 4,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 7,788.72 = 3,160 : x
  2. Step 2: Convert to fraction form
    5,644/7,788.72 = 3,160/x
  3. Step 3: Cross multiply
    5,644x = 7,788.72 × 3,160
  4. Step 4: Simplify right side
    5,644x = 24,612,355.20
  5. Step 5: Solve for x
    x = 24,612,355.20/5,644
  6. Step 6: Final answer
    x = 4,360.80

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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.