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Finding the Fourth Proportional to 9,278.95, 12,797.88 and 7,987.60

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Solution

The fourth proportional to 9,278.95, 12,797.88 and 7,987.60 is: 11,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.95 : 12,797.88 = 7,987.60 : x
  2. Step 2: Convert to fraction form
    9,278.95/12,797.88 = 7,987.60/x
  3. Step 3: Cross multiply
    9,278.95x = 12,797.88 × 7,987.60
  4. Step 4: Simplify right side
    9,278.95x = 102,224,346.29
  5. Step 5: Solve for x
    x = 102,224,346.29/9,278.95
  6. Step 6: Final answer
    x = 11,016.81

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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.