Home / 1,553.77-2,142.43-1,160.13

Finding the Fourth Proportional to 1,553.77, 2,142.43 and 1,160.13

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Solution

The fourth proportional to 1,553.77, 2,142.43 and 1,160.13 is: 1,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.77 : 2,142.43 = 1,160.13 : x
  2. Step 2: Convert to fraction form
    1,553.77/2,142.43 = 1,160.13/x
  3. Step 3: Cross multiply
    1,553.77x = 2,142.43 × 1,160.13
  4. Step 4: Simplify right side
    1,553.77x = 2,485,491.52
  5. Step 5: Solve for x
    x = 2,485,491.52/1,553.77
  6. Step 6: Final answer
    x = 1,599.65

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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.