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Finding the Fourth Proportional to 7,711.53, 11,499.65 and 7,641.41

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Solution

The fourth proportional to 7,711.53, 11,499.65 and 7,641.41 is: 11,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.53 : 11,499.65 = 7,641.41 : x
  2. Step 2: Convert to fraction form
    7,711.53/11,499.65 = 7,641.41/x
  3. Step 3: Cross multiply
    7,711.53x = 11,499.65 × 7,641.41
  4. Step 4: Simplify right side
    7,711.53x = 87,873,540.51
  5. Step 5: Solve for x
    x = 87,873,540.51/7,711.53
  6. Step 6: Final answer
    x = 11,395.09

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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.