Home / 2,438.25-3,657.53-977.21

Finding the Fourth Proportional to 2,438.25, 3,657.53 and 977.21

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Solution

The fourth proportional to 2,438.25, 3,657.53 and 977.21 is: 1,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.25 : 3,657.53 = 977.21 : x
  2. Step 2: Convert to fraction form
    2,438.25/3,657.53 = 977.21/x
  3. Step 3: Cross multiply
    2,438.25x = 3,657.53 × 977.21
  4. Step 4: Simplify right side
    2,438.25x = 3,574,190.59
  5. Step 5: Solve for x
    x = 3,574,190.59/2,438.25
  6. Step 6: Final answer
    x = 1,465.88

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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.