Home / 1,551.24-2,323.98-782.28

Finding the Fourth Proportional to 1,551.24, 2,323.98 and 782.28

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Solution

The fourth proportional to 1,551.24, 2,323.98 and 782.28 is: 1,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.24 : 2,323.98 = 782.28 : x
  2. Step 2: Convert to fraction form
    1,551.24/2,323.98 = 782.28/x
  3. Step 3: Cross multiply
    1,551.24x = 2,323.98 × 782.28
  4. Step 4: Simplify right side
    1,551.24x = 1,818,003.07
  5. Step 5: Solve for x
    x = 1,818,003.07/1,551.24
  6. Step 6: Final answer
    x = 1,171.97

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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.