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Finding the Fourth Proportional to 7,776.70, 10,729.92 and 4,751.04

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Solution

The fourth proportional to 7,776.70, 10,729.92 and 4,751.04 is: 6,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.70 : 10,729.92 = 4,751.04 : x
  2. Step 2: Convert to fraction form
    7,776.70/10,729.92 = 4,751.04/x
  3. Step 3: Cross multiply
    7,776.70x = 10,729.92 × 4,751.04
  4. Step 4: Simplify right side
    7,776.70x = 50,978,279.12
  5. Step 5: Solve for x
    x = 50,978,279.12/7,776.70
  6. Step 6: Final answer
    x = 6,555.26

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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.