Home / 1,585.78-2,377.14-1,450.47

Finding the Fourth Proportional to 1,585.78, 2,377.14 and 1,450.47

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Solution

The fourth proportional to 1,585.78, 2,377.14 and 1,450.47 is: 2,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.78 : 2,377.14 = 1,450.47 : x
  2. Step 2: Convert to fraction form
    1,585.78/2,377.14 = 1,450.47/x
  3. Step 3: Cross multiply
    1,585.78x = 2,377.14 × 1,450.47
  4. Step 4: Simplify right side
    1,585.78x = 3,447,970.26
  5. Step 5: Solve for x
    x = 3,447,970.26/1,585.78
  6. Step 6: Final answer
    x = 2,174.31

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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.