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Finding the Fourth Proportional to 1,980.66, 2,733.74 and 1,648.77

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Solution

The fourth proportional to 1,980.66, 2,733.74 and 1,648.77 is: 2,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.66 : 2,733.74 = 1,648.77 : x
  2. Step 2: Convert to fraction form
    1,980.66/2,733.74 = 1,648.77/x
  3. Step 3: Cross multiply
    1,980.66x = 2,733.74 × 1,648.77
  4. Step 4: Simplify right side
    1,980.66x = 4,507,296.19
  5. Step 5: Solve for x
    x = 4,507,296.19/1,980.66
  6. Step 6: Final answer
    x = 2,275.65

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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.