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Finding the Fourth Proportional to 20,584, 28,405.97 and 11,152.56

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Solution

The fourth proportional to 20,584, 28,405.97 and 11,152.56 is: 15,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 28,405.97 = 11,152.56 : x
  2. Step 2: Convert to fraction form
    20,584/28,405.97 = 11,152.56/x
  3. Step 3: Cross multiply
    20,584x = 28,405.97 × 11,152.56
  4. Step 4: Simplify right side
    20,584x = 316,799,284.78
  5. Step 5: Solve for x
    x = 316,799,284.78/20,584
  6. Step 6: Final answer
    x = 15,390.56

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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.