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Finding the Fourth Proportional to 27,451, 37,877.70 and 15,513.40

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Solution

The fourth proportional to 27,451, 37,877.70 and 15,513.40 is: 21,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451 : 37,877.70 = 15,513.40 : x
  2. Step 2: Convert to fraction form
    27,451/37,877.70 = 15,513.40/x
  3. Step 3: Cross multiply
    27,451x = 37,877.70 × 15,513.40
  4. Step 4: Simplify right side
    27,451x = 587,611,911.18
  5. Step 5: Solve for x
    x = 587,611,911.18/27,451
  6. Step 6: Final answer
    x = 21,405.85

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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.