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Finding the Fourth Proportional to 7,871.75, 11,750.03 and 6,937.60

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Solution

The fourth proportional to 7,871.75, 11,750.03 and 6,937.60 is: 10,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.75 : 11,750.03 = 6,937.60 : x
  2. Step 2: Convert to fraction form
    7,871.75/11,750.03 = 6,937.60/x
  3. Step 3: Cross multiply
    7,871.75x = 11,750.03 × 6,937.60
  4. Step 4: Simplify right side
    7,871.75x = 81,517,008.13
  5. Step 5: Solve for x
    x = 81,517,008.13/7,871.75
  6. Step 6: Final answer
    x = 10,355.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.