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Finding the Fourth Proportional to 1,420.13, 1,960.04 and 1,357.86

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Solution

The fourth proportional to 1,420.13, 1,960.04 and 1,357.86 is: 1,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.13 : 1,960.04 = 1,357.86 : x
  2. Step 2: Convert to fraction form
    1,420.13/1,960.04 = 1,357.86/x
  3. Step 3: Cross multiply
    1,420.13x = 1,960.04 × 1,357.86
  4. Step 4: Simplify right side
    1,420.13x = 2,661,453.13
  5. Step 5: Solve for x
    x = 2,661,453.13/1,420.13
  6. Step 6: Final answer
    x = 1,874.10

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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.