Home / 1,237.60-1,853.74-1,164.91

Finding the Fourth Proportional to 1,237.60, 1,853.74 and 1,164.91

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Solution

The fourth proportional to 1,237.60, 1,853.74 and 1,164.91 is: 1,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.60 : 1,853.74 = 1,164.91 : x
  2. Step 2: Convert to fraction form
    1,237.60/1,853.74 = 1,164.91/x
  3. Step 3: Cross multiply
    1,237.60x = 1,853.74 × 1,164.91
  4. Step 4: Simplify right side
    1,237.60x = 2,159,440.26
  5. Step 5: Solve for x
    x = 2,159,440.26/1,237.60
  6. Step 6: Final answer
    x = 1,744.86

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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.