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Finding the Fourth Proportional to 7,758.29, 11,637.29 and 1,914.90

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Solution

The fourth proportional to 7,758.29, 11,637.29 and 1,914.90 is: 2,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.29 : 11,637.29 = 1,914.90 : x
  2. Step 2: Convert to fraction form
    7,758.29/11,637.29 = 1,914.90/x
  3. Step 3: Cross multiply
    7,758.29x = 11,637.29 × 1,914.90
  4. Step 4: Simplify right side
    7,758.29x = 22,284,251.41
  5. Step 5: Solve for x
    x = 22,284,251.41/7,758.29
  6. Step 6: Final answer
    x = 2,872.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.