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Finding the Fourth Proportional to 1,810.96, 2,718.87 and 1,071.93

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Solution

The fourth proportional to 1,810.96, 2,718.87 and 1,071.93 is: 1,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.96 : 2,718.87 = 1,071.93 : x
  2. Step 2: Convert to fraction form
    1,810.96/2,718.87 = 1,071.93/x
  3. Step 3: Cross multiply
    1,810.96x = 2,718.87 × 1,071.93
  4. Step 4: Simplify right side
    1,810.96x = 2,914,444.50
  5. Step 5: Solve for x
    x = 2,914,444.50/1,810.96
  6. Step 6: Final answer
    x = 1,609.34

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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.