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Finding the Fourth Proportional to 1,585.37, 2,377.99 and 940.21

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Solution

The fourth proportional to 1,585.37, 2,377.99 and 940.21 is: 1,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.37 : 2,377.99 = 940.21 : x
  2. Step 2: Convert to fraction form
    1,585.37/2,377.99 = 940.21/x
  3. Step 3: Cross multiply
    1,585.37x = 2,377.99 × 940.21
  4. Step 4: Simplify right side
    1,585.37x = 2,235,809.98
  5. Step 5: Solve for x
    x = 2,235,809.98/1,585.37
  6. Step 6: Final answer
    x = 1,410.28

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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.