Home / 2,438.19-3,658.31-977.19

Finding the Fourth Proportional to 2,438.19, 3,658.31 and 977.19

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Solution

The fourth proportional to 2,438.19, 3,658.31 and 977.19 is: 1,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.19 : 3,658.31 = 977.19 : x
  2. Step 2: Convert to fraction form
    2,438.19/3,658.31 = 977.19/x
  3. Step 3: Cross multiply
    2,438.19x = 3,658.31 × 977.19
  4. Step 4: Simplify right side
    2,438.19x = 3,574,859.06
  5. Step 5: Solve for x
    x = 3,574,859.06/2,438.19
  6. Step 6: Final answer
    x = 1,466.19

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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.