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Finding the Fourth Proportional to 22,011.68, 30,376 and 11,940.32

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Solution

The fourth proportional to 22,011.68, 30,376 and 11,940.32 is: 16,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.68 : 30,376 = 11,940.32 : x
  2. Step 2: Convert to fraction form
    22,011.68/30,376 = 11,940.32/x
  3. Step 3: Cross multiply
    22,011.68x = 30,376 × 11,940.32
  4. Step 4: Simplify right side
    22,011.68x = 362,699,160.32
  5. Step 5: Solve for x
    x = 362,699,160.32/22,011.68
  6. Step 6: Final answer
    x = 16,477.58

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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.