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Finding the Fourth Proportional to 8,157.78, 12,291.51 and 7,378.65

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Solution

The fourth proportional to 8,157.78, 12,291.51 and 7,378.65 is: 11,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.78 : 12,291.51 = 7,378.65 : x
  2. Step 2: Convert to fraction form
    8,157.78/12,291.51 = 7,378.65/x
  3. Step 3: Cross multiply
    8,157.78x = 12,291.51 × 7,378.65
  4. Step 4: Simplify right side
    8,157.78x = 90,694,750.26
  5. Step 5: Solve for x
    x = 90,694,750.26/8,157.78
  6. Step 6: Final answer
    x = 11,117.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.