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Finding the Fourth Proportional to 5,191.90, 7,787.78 and 2,417.02

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Solution

The fourth proportional to 5,191.90, 7,787.78 and 2,417.02 is: 3,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.90 : 7,787.78 = 2,417.02 : x
  2. Step 2: Convert to fraction form
    5,191.90/7,787.78 = 2,417.02/x
  3. Step 3: Cross multiply
    5,191.90x = 7,787.78 × 2,417.02
  4. Step 4: Simplify right side
    5,191.90x = 18,823,220.02
  5. Step 5: Solve for x
    x = 18,823,220.02/5,191.90
  6. Step 6: Final answer
    x = 3,625.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.