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Finding the Fourth Proportional to 6,477.68, 9,716.49 and 2,777.51

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Solution

The fourth proportional to 6,477.68, 9,716.49 and 2,777.51 is: 4,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.68 : 9,716.49 = 2,777.51 : x
  2. Step 2: Convert to fraction form
    6,477.68/9,716.49 = 2,777.51/x
  3. Step 3: Cross multiply
    6,477.68x = 9,716.49 × 2,777.51
  4. Step 4: Simplify right side
    6,477.68x = 26,987,599.56
  5. Step 5: Solve for x
    x = 26,987,599.56/6,477.68
  6. Step 6: Final answer
    x = 4,166.25

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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.