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Finding the Fourth Proportional to 2,400.02, 3,599.47 and 918.94

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Solution

The fourth proportional to 2,400.02, 3,599.47 and 918.94 is: 1,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.02 : 3,599.47 = 918.94 : x
  2. Step 2: Convert to fraction form
    2,400.02/3,599.47 = 918.94/x
  3. Step 3: Cross multiply
    2,400.02x = 3,599.47 × 918.94
  4. Step 4: Simplify right side
    2,400.02x = 3,307,674.37
  5. Step 5: Solve for x
    x = 3,307,674.37/2,400.02
  6. Step 6: Final answer
    x = 1,378.19

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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.