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Finding the Fourth Proportional to 1,980.72, 2,733.11 and 1,129.98

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Solution

The fourth proportional to 1,980.72, 2,733.11 and 1,129.98 is: 1,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.72 : 2,733.11 = 1,129.98 : x
  2. Step 2: Convert to fraction form
    1,980.72/2,733.11 = 1,129.98/x
  3. Step 3: Cross multiply
    1,980.72x = 2,733.11 × 1,129.98
  4. Step 4: Simplify right side
    1,980.72x = 3,088,368.47
  5. Step 5: Solve for x
    x = 3,088,368.47/1,980.72
  6. Step 6: Final answer
    x = 1,559.22

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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.