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Finding the Fourth Proportional to 7,777.64, 10,739.86 and 6,669.56

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Solution

The fourth proportional to 7,777.64, 10,739.86 and 6,669.56 is: 9,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.64 : 10,739.86 = 6,669.56 : x
  2. Step 2: Convert to fraction form
    7,777.64/10,739.86 = 6,669.56/x
  3. Step 3: Cross multiply
    7,777.64x = 10,739.86 × 6,669.56
  4. Step 4: Simplify right side
    7,777.64x = 71,630,140.66
  5. Step 5: Solve for x
    x = 71,630,140.66/7,777.64
  6. Step 6: Final answer
    x = 9,209.75

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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.