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Finding the Fourth Proportional to 2,477.98, 3,716.97 and 747.01

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Solution

The fourth proportional to 2,477.98, 3,716.97 and 747.01 is: 1,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.98 : 3,716.97 = 747.01 : x
  2. Step 2: Convert to fraction form
    2,477.98/3,716.97 = 747.01/x
  3. Step 3: Cross multiply
    2,477.98x = 3,716.97 × 747.01
  4. Step 4: Simplify right side
    2,477.98x = 2,776,613.76
  5. Step 5: Solve for x
    x = 2,776,613.76/2,477.98
  6. Step 6: Final answer
    x = 1,120.52

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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.