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Finding the Fourth Proportional to 7,787.61, 10,748.30 and 4,644

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Solution

The fourth proportional to 7,787.61, 10,748.30 and 4,644 is: 6,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.61 : 10,748.30 = 4,644 : x
  2. Step 2: Convert to fraction form
    7,787.61/10,748.30 = 4,644/x
  3. Step 3: Cross multiply
    7,787.61x = 10,748.30 × 4,644
  4. Step 4: Simplify right side
    7,787.61x = 49,915,081.98
  5. Step 5: Solve for x
    x = 49,915,081.98/7,787.61
  6. Step 6: Final answer
    x = 6,409.55

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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.