Home / 1,433.06-2,150.19-971.36

Finding the Fourth Proportional to 1,433.06, 2,150.19 and 971.36

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Solution

The fourth proportional to 1,433.06, 2,150.19 and 971.36 is: 1,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.06 : 2,150.19 = 971.36 : x
  2. Step 2: Convert to fraction form
    1,433.06/2,150.19 = 971.36/x
  3. Step 3: Cross multiply
    1,433.06x = 2,150.19 × 971.36
  4. Step 4: Simplify right side
    1,433.06x = 2,088,608.56
  5. Step 5: Solve for x
    x = 2,088,608.56/1,433.06
  6. Step 6: Final answer
    x = 1,457.45

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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.