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Finding the Fourth Proportional to 7,787.70, 10,748.06 and 4,429.87

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Solution

The fourth proportional to 7,787.70, 10,748.06 and 4,429.87 is: 6,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.70 : 10,748.06 = 4,429.87 : x
  2. Step 2: Convert to fraction form
    7,787.70/10,748.06 = 4,429.87/x
  3. Step 3: Cross multiply
    7,787.70x = 10,748.06 × 4,429.87
  4. Step 4: Simplify right side
    7,787.70x = 47,612,508.55
  5. Step 5: Solve for x
    x = 47,612,508.55/7,787.70
  6. Step 6: Final answer
    x = 6,113.81

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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.