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Finding the Fourth Proportional to 9,880.70, 13,641.63 and 7,638.62

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Solution

The fourth proportional to 9,880.70, 13,641.63 and 7,638.62 is: 10,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.70 : 13,641.63 = 7,638.62 : x
  2. Step 2: Convert to fraction form
    9,880.70/13,641.63 = 7,638.62/x
  3. Step 3: Cross multiply
    9,880.70x = 13,641.63 × 7,638.62
  4. Step 4: Simplify right side
    9,880.70x = 104,203,227.75
  5. Step 5: Solve for x
    x = 104,203,227.75/9,880.70
  6. Step 6: Final answer
    x = 10,546.14

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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.