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Finding the Fourth Proportional to 7,878.89, 10,872.42 and 4,521.38

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Solution

The fourth proportional to 7,878.89, 10,872.42 and 4,521.38 is: 6,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.89 : 10,872.42 = 4,521.38 : x
  2. Step 2: Convert to fraction form
    7,878.89/10,872.42 = 4,521.38/x
  3. Step 3: Cross multiply
    7,878.89x = 10,872.42 × 4,521.38
  4. Step 4: Simplify right side
    7,878.89x = 49,158,342.34
  5. Step 5: Solve for x
    x = 49,158,342.34/7,878.89
  6. Step 6: Final answer
    x = 6,239.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.