Home / 1,412.41-2,117.46-948.77

Finding the Fourth Proportional to 1,412.41, 2,117.46 and 948.77

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Solution

The fourth proportional to 1,412.41, 2,117.46 and 948.77 is: 1,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.41 : 2,117.46 = 948.77 : x
  2. Step 2: Convert to fraction form
    1,412.41/2,117.46 = 948.77/x
  3. Step 3: Cross multiply
    1,412.41x = 2,117.46 × 948.77
  4. Step 4: Simplify right side
    1,412.41x = 2,008,982.52
  5. Step 5: Solve for x
    x = 2,008,982.52/1,412.41
  6. Step 6: Final answer
    x = 1,422.38

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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.