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Finding the Fourth Proportional to 27,377, 37,780.26 and 14,801.75

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Solution

The fourth proportional to 27,377, 37,780.26 and 14,801.75 is: 20,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377 : 37,780.26 = 14,801.75 : x
  2. Step 2: Convert to fraction form
    27,377/37,780.26 = 14,801.75/x
  3. Step 3: Cross multiply
    27,377x = 37,780.26 × 14,801.75
  4. Step 4: Simplify right side
    27,377x = 559,213,963.46
  5. Step 5: Solve for x
    x = 559,213,963.46/27,377
  6. Step 6: Final answer
    x = 20,426.42

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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.