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Finding the Fourth Proportional to 7,789, 10,748.80 and 4,252.21

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Solution

The fourth proportional to 7,789, 10,748.80 and 4,252.21 is: 5,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789 : 10,748.80 = 4,252.21 : x
  2. Step 2: Convert to fraction form
    7,789/10,748.80 = 4,252.21/x
  3. Step 3: Cross multiply
    7,789x = 10,748.80 × 4,252.21
  4. Step 4: Simplify right side
    7,789x = 45,706,154.85
  5. Step 5: Solve for x
    x = 45,706,154.85/7,789
  6. Step 6: Final answer
    x = 5,868.04

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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.