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Finding the Fourth Proportional to 2,477.99, 3,716.53 and 918.08

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Solution

The fourth proportional to 2,477.99, 3,716.53 and 918.08 is: 1,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.99 : 3,716.53 = 918.08 : x
  2. Step 2: Convert to fraction form
    2,477.99/3,716.53 = 918.08/x
  3. Step 3: Cross multiply
    2,477.99x = 3,716.53 × 918.08
  4. Step 4: Simplify right side
    2,477.99x = 3,412,090.99
  5. Step 5: Solve for x
    x = 3,412,090.99/2,477.99
  6. Step 6: Final answer
    x = 1,376.96

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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.