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Finding the Fourth Proportional to 22,355.81, 30,851.11 and 12,284.47

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Solution

The fourth proportional to 22,355.81, 30,851.11 and 12,284.47 is: 16,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355.81 : 30,851.11 = 12,284.47 : x
  2. Step 2: Convert to fraction form
    22,355.81/30,851.11 = 12,284.47/x
  3. Step 3: Cross multiply
    22,355.81x = 30,851.11 × 12,284.47
  4. Step 4: Simplify right side
    22,355.81x = 378,989,535.26
  5. Step 5: Solve for x
    x = 378,989,535.26/22,355.81
  6. Step 6: Final answer
    x = 16,952.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.