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Finding the Fourth Proportional to 1,585.50, 2,375.10 and 1,237.16

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Solution

The fourth proportional to 1,585.50, 2,375.10 and 1,237.16 is: 1,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.50 : 2,375.10 = 1,237.16 : x
  2. Step 2: Convert to fraction form
    1,585.50/2,375.10 = 1,237.16/x
  3. Step 3: Cross multiply
    1,585.50x = 2,375.10 × 1,237.16
  4. Step 4: Simplify right side
    1,585.50x = 2,938,378.72
  5. Step 5: Solve for x
    x = 2,938,378.72/1,585.50
  6. Step 6: Final answer
    x = 1,853.28

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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.