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Finding the Fourth Proportional to 1,981.65, 2,972.48 and 1,657.65

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Solution

The fourth proportional to 1,981.65, 2,972.48 and 1,657.65 is: 2,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.65 : 2,972.48 = 1,657.65 : x
  2. Step 2: Convert to fraction form
    1,981.65/2,972.48 = 1,657.65/x
  3. Step 3: Cross multiply
    1,981.65x = 2,972.48 × 1,657.65
  4. Step 4: Simplify right side
    1,981.65x = 4,927,323.18
  5. Step 5: Solve for x
    x = 4,927,323.18/1,981.65
  6. Step 6: Final answer
    x = 2,486.48

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Similar ratio
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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.