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Finding the Fourth Proportional to 7,751.65, 10,697.16 and 4,214.83

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Solution

The fourth proportional to 7,751.65, 10,697.16 and 4,214.83 is: 5,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.65 : 10,697.16 = 4,214.83 : x
  2. Step 2: Convert to fraction form
    7,751.65/10,697.16 = 4,214.83/x
  3. Step 3: Cross multiply
    7,751.65x = 10,697.16 × 4,214.83
  4. Step 4: Simplify right side
    7,751.65x = 45,086,710.88
  5. Step 5: Solve for x
    x = 45,086,710.88/7,751.65
  6. Step 6: Final answer
    x = 5,816.40

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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.