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Finding the Fourth Proportional to 35,701.50, 49,266.78 and 19,787.40

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Solution

The fourth proportional to 35,701.50, 49,266.78 and 19,787.40 is: 27,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,701.50 : 49,266.78 = 19,787.40 : x
  2. Step 2: Convert to fraction form
    35,701.50/49,266.78 = 19,787.40/x
  3. Step 3: Cross multiply
    35,701.50x = 49,266.78 × 19,787.40
  4. Step 4: Simplify right side
    35,701.50x = 974,861,482.57
  5. Step 5: Solve for x
    x = 974,861,482.57/35,701.50
  6. Step 6: Final answer
    x = 27,305.90

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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.