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Finding the Fourth Proportional to 5,616.96, 8,424.48 and 1,512

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Solution

The fourth proportional to 5,616.96, 8,424.48 and 1,512 is: 2,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.96 : 8,424.48 = 1,512 : x
  2. Step 2: Convert to fraction form
    5,616.96/8,424.48 = 1,512/x
  3. Step 3: Cross multiply
    5,616.96x = 8,424.48 × 1,512
  4. Step 4: Simplify right side
    5,616.96x = 12,737,813.76
  5. Step 5: Solve for x
    x = 12,737,813.76/5,616.96
  6. Step 6: Final answer
    x = 2,267.74

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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.