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Finding the Fourth Proportional to 7,873.08, 11,710.38 and 7,171.80

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Solution

The fourth proportional to 7,873.08, 11,710.38 and 7,171.80 is: 10,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.08 : 11,710.38 = 7,171.80 : x
  2. Step 2: Convert to fraction form
    7,873.08/11,710.38 = 7,171.80/x
  3. Step 3: Cross multiply
    7,873.08x = 11,710.38 × 7,171.80
  4. Step 4: Simplify right side
    7,873.08x = 83,984,503.28
  5. Step 5: Solve for x
    x = 83,984,503.28/7,873.08
  6. Step 6: Final answer
    x = 10,667.30

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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.