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Finding the Fourth Proportional to 2,005.40, 2,768.10 and 1,342.40

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Solution

The fourth proportional to 2,005.40, 2,768.10 and 1,342.40 is: 1,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.40 : 2,768.10 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    2,005.40/2,768.10 = 1,342.40/x
  3. Step 3: Cross multiply
    2,005.40x = 2,768.10 × 1,342.40
  4. Step 4: Simplify right side
    2,005.40x = 3,715,897.44
  5. Step 5: Solve for x
    x = 3,715,897.44/2,005.40
  6. Step 6: Final answer
    x = 1,852.95

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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.