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Finding the Fourth Proportional to 8,545.96, 12,820.08 and 2,998

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Solution

The fourth proportional to 8,545.96, 12,820.08 and 2,998 is: 4,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.96 : 12,820.08 = 2,998 : x
  2. Step 2: Convert to fraction form
    8,545.96/12,820.08 = 2,998/x
  3. Step 3: Cross multiply
    8,545.96x = 12,820.08 × 2,998
  4. Step 4: Simplify right side
    8,545.96x = 38,434,599.84
  5. Step 5: Solve for x
    x = 38,434,599.84/8,545.96
  6. Step 6: Final answer
    x = 4,497.40

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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.