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Finding the Fourth Proportional to 9,975.40, 13,760.42 and 6,242.92

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Solution

The fourth proportional to 9,975.40, 13,760.42 and 6,242.92 is: 8,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.40 : 13,760.42 = 6,242.92 : x
  2. Step 2: Convert to fraction form
    9,975.40/13,760.42 = 6,242.92/x
  3. Step 3: Cross multiply
    9,975.40x = 13,760.42 × 6,242.92
  4. Step 4: Simplify right side
    9,975.40x = 85,905,201.23
  5. Step 5: Solve for x
    x = 85,905,201.23/9,975.40
  6. Step 6: Final answer
    x = 8,611.70

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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.