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Finding the Fourth Proportional to 20,574.46, 28,392.78 and 11,143

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Solution

The fourth proportional to 20,574.46, 28,392.78 and 11,143 is: 15,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.46 : 28,392.78 = 11,143 : x
  2. Step 2: Convert to fraction form
    20,574.46/28,392.78 = 11,143/x
  3. Step 3: Cross multiply
    20,574.46x = 28,392.78 × 11,143
  4. Step 4: Simplify right side
    20,574.46x = 316,380,747.54
  5. Step 5: Solve for x
    x = 316,380,747.54/20,574.46
  6. Step 6: Final answer
    x = 15,377.35

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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.