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Finding the Fourth Proportional to 7,777.68, 11,669.56 and 5,402.64

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Solution

The fourth proportional to 7,777.68, 11,669.56 and 5,402.64 is: 8,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.68 : 11,669.56 = 5,402.64 : x
  2. Step 2: Convert to fraction form
    7,777.68/11,669.56 = 5,402.64/x
  3. Step 3: Cross multiply
    7,777.68x = 11,669.56 × 5,402.64
  4. Step 4: Simplify right side
    7,777.68x = 63,046,431.64
  5. Step 5: Solve for x
    x = 63,046,431.64/7,777.68
  6. Step 6: Final answer
    x = 8,106.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.