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Finding the Fourth Proportional to 22,228.65, 30,684.02 and 15,164.64

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Solution

The fourth proportional to 22,228.65, 30,684.02 and 15,164.64 is: 20,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228.65 : 30,684.02 = 15,164.64 : x
  2. Step 2: Convert to fraction form
    22,228.65/30,684.02 = 15,164.64/x
  3. Step 3: Cross multiply
    22,228.65x = 30,684.02 × 15,164.64
  4. Step 4: Simplify right side
    22,228.65x = 465,312,041.23
  5. Step 5: Solve for x
    x = 465,312,041.23/22,228.65
  6. Step 6: Final answer
    x = 20,932.99

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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.