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Finding the Fourth Proportional to 7,765.83, 10,709.76 and 5,074.61

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Solution

The fourth proportional to 7,765.83, 10,709.76 and 5,074.61 is: 6,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.83 : 10,709.76 = 5,074.61 : x
  2. Step 2: Convert to fraction form
    7,765.83/10,709.76 = 5,074.61/x
  3. Step 3: Cross multiply
    7,765.83x = 10,709.76 × 5,074.61
  4. Step 4: Simplify right side
    7,765.83x = 54,347,801.64
  5. Step 5: Solve for x
    x = 54,347,801.64/7,765.83
  6. Step 6: Final answer
    x = 6,998.32

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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.