Home / 1,434.31-2,150.01-972.14

Finding the Fourth Proportional to 1,434.31, 2,150.01 and 972.14

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Solution

The fourth proportional to 1,434.31, 2,150.01 and 972.14 is: 1,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.31 : 2,150.01 = 972.14 : x
  2. Step 2: Convert to fraction form
    1,434.31/2,150.01 = 972.14/x
  3. Step 3: Cross multiply
    1,434.31x = 2,150.01 × 972.14
  4. Step 4: Simplify right side
    1,434.31x = 2,090,099.97
  5. Step 5: Solve for x
    x = 2,090,099.97/1,434.31
  6. Step 6: Final answer
    x = 1,457.22

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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.