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Finding the Fourth Proportional to 27,313, 37,692.66 and 15,376.78

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Solution

The fourth proportional to 27,313, 37,692.66 and 15,376.78 is: 21,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313 : 37,692.66 = 15,376.78 : x
  2. Step 2: Convert to fraction form
    27,313/37,692.66 = 15,376.78/x
  3. Step 3: Cross multiply
    27,313x = 37,692.66 × 15,376.78
  4. Step 4: Simplify right side
    27,313x = 579,591,740.43
  5. Step 5: Solve for x
    x = 579,591,740.43/27,313
  6. Step 6: Final answer
    x = 21,220.36

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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.