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Finding the Fourth Proportional to 8,073.84, 12,110.76 and 2,878.50

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Solution

The fourth proportional to 8,073.84, 12,110.76 and 2,878.50 is: 4,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.84 : 12,110.76 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    8,073.84/12,110.76 = 2,878.50/x
  3. Step 3: Cross multiply
    8,073.84x = 12,110.76 × 2,878.50
  4. Step 4: Simplify right side
    8,073.84x = 34,860,822.66
  5. Step 5: Solve for x
    x = 34,860,822.66/8,073.84
  6. Step 6: Final answer
    x = 4,317.75

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1.5x scale

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.