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Finding the Fourth Proportional to 7,877.84, 11,818.80 and 3,494.24

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Solution

The fourth proportional to 7,877.84, 11,818.80 and 3,494.24 is: 5,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.84 : 11,818.80 = 3,494.24 : x
  2. Step 2: Convert to fraction form
    7,877.84/11,818.80 = 3,494.24/x
  3. Step 3: Cross multiply
    7,877.84x = 11,818.80 × 3,494.24
  4. Step 4: Simplify right side
    7,877.84x = 41,297,723.71
  5. Step 5: Solve for x
    x = 41,297,723.71/7,877.84
  6. Step 6: Final answer
    x = 5,242.26

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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.