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Finding the Fourth Proportional to 9,963.76, 13,749.81 and 5,487.92

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Solution

The fourth proportional to 9,963.76, 13,749.81 and 5,487.92 is: 7,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.76 : 13,749.81 = 5,487.92 : x
  2. Step 2: Convert to fraction form
    9,963.76/13,749.81 = 5,487.92/x
  3. Step 3: Cross multiply
    9,963.76x = 13,749.81 × 5,487.92
  4. Step 4: Simplify right side
    9,963.76x = 75,457,938.03
  5. Step 5: Solve for x
    x = 75,457,938.03/9,963.76
  6. Step 6: Final answer
    x = 7,573.24

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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.