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Finding the Fourth Proportional to 5,616.60, 8,424.56 and 1,721

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Solution

The fourth proportional to 5,616.60, 8,424.56 and 1,721 is: 2,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.60 : 8,424.56 = 1,721 : x
  2. Step 2: Convert to fraction form
    5,616.60/8,424.56 = 1,721/x
  3. Step 3: Cross multiply
    5,616.60x = 8,424.56 × 1,721
  4. Step 4: Simplify right side
    5,616.60x = 14,498,667.76
  5. Step 5: Solve for x
    x = 14,498,667.76/5,616.60
  6. Step 6: Final answer
    x = 2,581.40

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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.