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Finding the Fourth Proportional to 1,726.10, 2,382.03 and 940.13

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Solution

The fourth proportional to 1,726.10, 2,382.03 and 940.13 is: 1,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.10 : 2,382.03 = 940.13 : x
  2. Step 2: Convert to fraction form
    1,726.10/2,382.03 = 940.13/x
  3. Step 3: Cross multiply
    1,726.10x = 2,382.03 × 940.13
  4. Step 4: Simplify right side
    1,726.10x = 2,239,417.86
  5. Step 5: Solve for x
    x = 2,239,417.86/1,726.10
  6. Step 6: Final answer
    x = 1,297.39

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1.5x scale

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.