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Finding the Fourth Proportional to 9,807.78, 14,711.97 and 2,412.21

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Solution

The fourth proportional to 9,807.78, 14,711.97 and 2,412.21 is: 3,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.78 : 14,711.97 = 2,412.21 : x
  2. Step 2: Convert to fraction form
    9,807.78/14,711.97 = 2,412.21/x
  3. Step 3: Cross multiply
    9,807.78x = 14,711.97 × 2,412.21
  4. Step 4: Simplify right side
    9,807.78x = 35,488,361.15
  5. Step 5: Solve for x
    x = 35,488,361.15/9,807.78
  6. Step 6: Final answer
    x = 3,618.39

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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.