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Finding the Fourth Proportional to 7,087.44, 9,765.12 and 5,287.32

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Solution

The fourth proportional to 7,087.44, 9,765.12 and 5,287.32 is: 7,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.44 : 9,765.12 = 5,287.32 : x
  2. Step 2: Convert to fraction form
    7,087.44/9,765.12 = 5,287.32/x
  3. Step 3: Cross multiply
    7,087.44x = 9,765.12 × 5,287.32
  4. Step 4: Simplify right side
    7,087.44x = 51,631,314.28
  5. Step 5: Solve for x
    x = 51,631,314.28/7,087.44
  6. Step 6: Final answer
    x = 7,284.90

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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.