Home / 1,419.11-2,126.33-870.13

Finding the Fourth Proportional to 1,419.11, 2,126.33 and 870.13

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Solution

The fourth proportional to 1,419.11, 2,126.33 and 870.13 is: 1,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.11 : 2,126.33 = 870.13 : x
  2. Step 2: Convert to fraction form
    1,419.11/2,126.33 = 870.13/x
  3. Step 3: Cross multiply
    1,419.11x = 2,126.33 × 870.13
  4. Step 4: Simplify right side
    1,419.11x = 1,850,183.52
  5. Step 5: Solve for x
    x = 1,850,183.52/1,419.11
  6. Step 6: Final answer
    x = 1,303.76

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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.