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Finding the Fourth Proportional to 2,071.84, 3,107.76 and 1,945.12

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Solution

The fourth proportional to 2,071.84, 3,107.76 and 1,945.12 is: 2,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.84 : 3,107.76 = 1,945.12 : x
  2. Step 2: Convert to fraction form
    2,071.84/3,107.76 = 1,945.12/x
  3. Step 3: Cross multiply
    2,071.84x = 3,107.76 × 1,945.12
  4. Step 4: Simplify right side
    2,071.84x = 6,044,966.13
  5. Step 5: Solve for x
    x = 6,044,966.13/2,071.84
  6. Step 6: Final answer
    x = 2,917.68

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Double scale
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Similar ratio
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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.