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Finding the Fourth Proportional to 27,309, 37,684.02 and 15,208.58

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Solution

The fourth proportional to 27,309, 37,684.02 and 15,208.58 is: 20,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309 : 37,684.02 = 15,208.58 : x
  2. Step 2: Convert to fraction form
    27,309/37,684.02 = 15,208.58/x
  3. Step 3: Cross multiply
    27,309x = 37,684.02 × 15,208.58
  4. Step 4: Simplify right side
    27,309x = 573,120,244.47
  5. Step 5: Solve for x
    x = 573,120,244.47/27,309
  6. Step 6: Final answer
    x = 20,986.50

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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.