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Finding the Fourth Proportional to 2,707, 4,060.70 and 1,981.16

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Solution

The fourth proportional to 2,707, 4,060.70 and 1,981.16 is: 2,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707 : 4,060.70 = 1,981.16 : x
  2. Step 2: Convert to fraction form
    2,707/4,060.70 = 1,981.16/x
  3. Step 3: Cross multiply
    2,707x = 4,060.70 × 1,981.16
  4. Step 4: Simplify right side
    2,707x = 8,044,896.41
  5. Step 5: Solve for x
    x = 8,044,896.41/2,707
  6. Step 6: Final answer
    x = 2,971.89

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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.