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Finding the Fourth Proportional to 2,071.84, 3,107.74 and 975.61

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Solution

The fourth proportional to 2,071.84, 3,107.74 and 975.61 is: 1,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.84 : 3,107.74 = 975.61 : x
  2. Step 2: Convert to fraction form
    2,071.84/3,107.74 = 975.61/x
  3. Step 3: Cross multiply
    2,071.84x = 3,107.74 × 975.61
  4. Step 4: Simplify right side
    2,071.84x = 3,031,926.68
  5. Step 5: Solve for x
    x = 3,031,926.68/2,071.84
  6. Step 6: Final answer
    x = 1,463.40

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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.