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Finding the Fourth Proportional to 7,878.40, 10,872.24 and 4,341.54

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Solution

The fourth proportional to 7,878.40, 10,872.24 and 4,341.54 is: 5,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.40 : 10,872.24 = 4,341.54 : x
  2. Step 2: Convert to fraction form
    7,878.40/10,872.24 = 4,341.54/x
  3. Step 3: Cross multiply
    7,878.40x = 10,872.24 × 4,341.54
  4. Step 4: Simplify right side
    7,878.40x = 47,202,264.85
  5. Step 5: Solve for x
    x = 47,202,264.85/7,878.40
  6. Step 6: Final answer
    x = 5,991.35

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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.