Home / 1,506.18-2,259.96-921.78

Finding the Fourth Proportional to 1,506.18, 2,259.96 and 921.78

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Solution

The fourth proportional to 1,506.18, 2,259.96 and 921.78 is: 1,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.18 : 2,259.96 = 921.78 : x
  2. Step 2: Convert to fraction form
    1,506.18/2,259.96 = 921.78/x
  3. Step 3: Cross multiply
    1,506.18x = 2,259.96 × 921.78
  4. Step 4: Simplify right side
    1,506.18x = 2,083,185.93
  5. Step 5: Solve for x
    x = 2,083,185.93/1,506.18
  6. Step 6: Final answer
    x = 1,383.09

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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.