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Finding the Fourth Proportional to 27,740, 38,281.42 and 15,164.76

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Solution

The fourth proportional to 27,740, 38,281.42 and 15,164.76 is: 20,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740 : 38,281.42 = 15,164.76 : x
  2. Step 2: Convert to fraction form
    27,740/38,281.42 = 15,164.76/x
  3. Step 3: Cross multiply
    27,740x = 38,281.42 × 15,164.76
  4. Step 4: Simplify right side
    27,740x = 580,528,546.76
  5. Step 5: Solve for x
    x = 580,528,546.76/27,740
  6. Step 6: Final answer
    x = 20,927.49

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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.