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Finding the Fourth Proportional to 1,735.64, 2,391.72 and 1,237.40

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Solution

The fourth proportional to 1,735.64, 2,391.72 and 1,237.40 is: 1,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.64 : 2,391.72 = 1,237.40 : x
  2. Step 2: Convert to fraction form
    1,735.64/2,391.72 = 1,237.40/x
  3. Step 3: Cross multiply
    1,735.64x = 2,391.72 × 1,237.40
  4. Step 4: Simplify right side
    1,735.64x = 2,959,514.33
  5. Step 5: Solve for x
    x = 2,959,514.33/1,735.64
  6. Step 6: Final answer
    x = 1,705.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.