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Finding the Fourth Proportional to 7,872.66, 10,866.56 and 6,290.33

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Solution

The fourth proportional to 7,872.66, 10,866.56 and 6,290.33 is: 8,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.66 : 10,866.56 = 6,290.33 : x
  2. Step 2: Convert to fraction form
    7,872.66/10,866.56 = 6,290.33/x
  3. Step 3: Cross multiply
    7,872.66x = 10,866.56 × 6,290.33
  4. Step 4: Simplify right side
    7,872.66x = 68,354,162.58
  5. Step 5: Solve for x
    x = 68,354,162.58/7,872.66
  6. Step 6: Final answer
    x = 8,682.47

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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.