Home / 1,622.53-2,431.36-972.55

Finding the Fourth Proportional to 1,622.53, 2,431.36 and 972.55

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Solution

The fourth proportional to 1,622.53, 2,431.36 and 972.55 is: 1,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.53 : 2,431.36 = 972.55 : x
  2. Step 2: Convert to fraction form
    1,622.53/2,431.36 = 972.55/x
  3. Step 3: Cross multiply
    1,622.53x = 2,431.36 × 972.55
  4. Step 4: Simplify right side
    1,622.53x = 2,364,619.17
  5. Step 5: Solve for x
    x = 2,364,619.17/1,622.53
  6. Step 6: Final answer
    x = 1,457.37

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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.