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Finding the Fourth Proportional to 9,102.75, 12,561.00 and 5,069.28

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Solution

The fourth proportional to 9,102.75, 12,561.00 and 5,069.28 is: 6,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.75 : 12,561.00 = 5,069.28 : x
  2. Step 2: Convert to fraction form
    9,102.75/12,561.00 = 5,069.28/x
  3. Step 3: Cross multiply
    9,102.75x = 12,561.00 × 5,069.28
  4. Step 4: Simplify right side
    9,102.75x = 63,675,137.93
  5. Step 5: Solve for x
    x = 63,675,137.93/9,102.75
  6. Step 6: Final answer
    x = 6,995.15

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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.