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Finding the Fourth Proportional to 15,278.68, 22,923.84 and 7,878.42

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Solution

The fourth proportional to 15,278.68, 22,923.84 and 7,878.42 is: 11,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.68 : 22,923.84 = 7,878.42 : x
  2. Step 2: Convert to fraction form
    15,278.68/22,923.84 = 7,878.42/x
  3. Step 3: Cross multiply
    15,278.68x = 22,923.84 × 7,878.42
  4. Step 4: Simplify right side
    15,278.68x = 180,603,639.53
  5. Step 5: Solve for x
    x = 180,603,639.53/15,278.68
  6. Step 6: Final answer
    x = 11,820.63

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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.