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Finding the Fourth Proportional to 9,882.45, 13,642.74 and 7,639.26

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Solution

The fourth proportional to 9,882.45, 13,642.74 and 7,639.26 is: 10,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.45 : 13,642.74 = 7,639.26 : x
  2. Step 2: Convert to fraction form
    9,882.45/13,642.74 = 7,639.26/x
  3. Step 3: Cross multiply
    9,882.45x = 13,642.74 × 7,639.26
  4. Step 4: Simplify right side
    9,882.45x = 104,220,437.97
  5. Step 5: Solve for x
    x = 104,220,437.97/9,882.45
  6. Step 6: Final answer
    x = 10,546.01

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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.