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Finding the Fourth Proportional to 1,720, 2,371.38 and 1,404.93

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Solution

The fourth proportional to 1,720, 2,371.38 and 1,404.93 is: 1,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720 : 2,371.38 = 1,404.93 : x
  2. Step 2: Convert to fraction form
    1,720/2,371.38 = 1,404.93/x
  3. Step 3: Cross multiply
    1,720x = 2,371.38 × 1,404.93
  4. Step 4: Simplify right side
    1,720x = 3,331,622.90
  5. Step 5: Solve for x
    x = 3,331,622.90/1,720
  6. Step 6: Final answer
    x = 1,936.99

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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.