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Finding the Fourth Proportional to 1,639.72, 2,460 and 1,347.70

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Solution

The fourth proportional to 1,639.72, 2,460 and 1,347.70 is: 2,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.72 : 2,460 = 1,347.70 : x
  2. Step 2: Convert to fraction form
    1,639.72/2,460 = 1,347.70/x
  3. Step 3: Cross multiply
    1,639.72x = 2,460 × 1,347.70
  4. Step 4: Simplify right side
    1,639.72x = 3,315,342
  5. Step 5: Solve for x
    x = 3,315,342/1,639.72
  6. Step 6: Final answer
    x = 2,021.90

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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.