Home / 7,522.64-11,284.35-1,976

Finding the Fourth Proportional to 7,522.64, 11,284.35 and 1,976

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Solution

The fourth proportional to 7,522.64, 11,284.35 and 1,976 is: 2,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.64 : 11,284.35 = 1,976 : x
  2. Step 2: Convert to fraction form
    7,522.64/11,284.35 = 1,976/x
  3. Step 3: Cross multiply
    7,522.64x = 11,284.35 × 1,976
  4. Step 4: Simplify right side
    7,522.64x = 22,297,875.60
  5. Step 5: Solve for x
    x = 22,297,875.60/7,522.64
  6. Step 6: Final answer
    x = 2,964.10

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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.