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Finding the Fourth Proportional to 9,881.44, 13,641.34 and 7,638.24

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Solution

The fourth proportional to 9,881.44, 13,641.34 and 7,638.24 is: 10,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.44 : 13,641.34 = 7,638.24 : x
  2. Step 2: Convert to fraction form
    9,881.44/13,641.34 = 7,638.24/x
  3. Step 3: Cross multiply
    9,881.44x = 13,641.34 × 7,638.24
  4. Step 4: Simplify right side
    9,881.44x = 104,195,828.84
  5. Step 5: Solve for x
    x = 104,195,828.84/9,881.44
  6. Step 6: Final answer
    x = 10,544.60

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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.