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Finding the Fourth Proportional to 9,881.49, 13,641.44 and 7,638.30

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Solution

The fourth proportional to 9,881.49, 13,641.44 and 7,638.30 is: 10,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.49 : 13,641.44 = 7,638.30 : x
  2. Step 2: Convert to fraction form
    9,881.49/13,641.44 = 7,638.30/x
  3. Step 3: Cross multiply
    9,881.49x = 13,641.44 × 7,638.30
  4. Step 4: Simplify right side
    9,881.49x = 104,197,372.96
  5. Step 5: Solve for x
    x = 104,197,372.96/9,881.49
  6. Step 6: Final answer
    x = 10,544.70

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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.