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Finding the Fourth Proportional to 1,721.49, 2,373.49 and 1,406.40

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Solution

The fourth proportional to 1,721.49, 2,373.49 and 1,406.40 is: 1,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.49 : 2,373.49 = 1,406.40 : x
  2. Step 2: Convert to fraction form
    1,721.49/2,373.49 = 1,406.40/x
  3. Step 3: Cross multiply
    1,721.49x = 2,373.49 × 1,406.40
  4. Step 4: Simplify right side
    1,721.49x = 3,338,076.34
  5. Step 5: Solve for x
    x = 3,338,076.34/1,721.49
  6. Step 6: Final answer
    x = 1,939.06

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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.