Home / 2,537.46-3,807.20-977.81

Finding the Fourth Proportional to 2,537.46, 3,807.20 and 977.81

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Solution

The fourth proportional to 2,537.46, 3,807.20 and 977.81 is: 1,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.46 : 3,807.20 = 977.81 : x
  2. Step 2: Convert to fraction form
    2,537.46/3,807.20 = 977.81/x
  3. Step 3: Cross multiply
    2,537.46x = 3,807.20 × 977.81
  4. Step 4: Simplify right side
    2,537.46x = 3,722,701.64
  5. Step 5: Solve for x
    x = 3,722,701.64/2,537.46
  6. Step 6: Final answer
    x = 1,467.10

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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.