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Finding the Fourth Proportional to 7,787.95, 11,681.82 and 3,625.63

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Solution

The fourth proportional to 7,787.95, 11,681.82 and 3,625.63 is: 5,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.95 : 11,681.82 = 3,625.63 : x
  2. Step 2: Convert to fraction form
    7,787.95/11,681.82 = 3,625.63/x
  3. Step 3: Cross multiply
    7,787.95x = 11,681.82 × 3,625.63
  4. Step 4: Simplify right side
    7,787.95x = 42,353,993.55
  5. Step 5: Solve for x
    x = 42,353,993.55/7,787.95
  6. Step 6: Final answer
    x = 5,438.40

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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.