Home / 2,101.41-3,151.06-785.10

Finding the Fourth Proportional to 2,101.41, 3,151.06 and 785.10

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Solution

The fourth proportional to 2,101.41, 3,151.06 and 785.10 is: 1,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.41 : 3,151.06 = 785.10 : x
  2. Step 2: Convert to fraction form
    2,101.41/3,151.06 = 785.10/x
  3. Step 3: Cross multiply
    2,101.41x = 3,151.06 × 785.10
  4. Step 4: Simplify right side
    2,101.41x = 2,473,897.21
  5. Step 5: Solve for x
    x = 2,473,897.21/2,101.41
  6. Step 6: Final answer
    x = 1,177.26

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1.5x scale

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.