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Finding the Fourth Proportional to 7,871.08, 11,707.40 and 7,169.80

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Solution

The fourth proportional to 7,871.08, 11,707.40 and 7,169.80 is: 10,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.08 : 11,707.40 = 7,169.80 : x
  2. Step 2: Convert to fraction form
    7,871.08/11,707.40 = 7,169.80/x
  3. Step 3: Cross multiply
    7,871.08x = 11,707.40 × 7,169.80
  4. Step 4: Simplify right side
    7,871.08x = 83,939,716.52
  5. Step 5: Solve for x
    x = 83,939,716.52/7,871.08
  6. Step 6: Final answer
    x = 10,664.32

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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.