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Finding the Fourth Proportional to 1,866.54, 2,781.62 and 1,810.23

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Solution

The fourth proportional to 1,866.54, 2,781.62 and 1,810.23 is: 2,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.54 : 2,781.62 = 1,810.23 : x
  2. Step 2: Convert to fraction form
    1,866.54/2,781.62 = 1,810.23/x
  3. Step 3: Cross multiply
    1,866.54x = 2,781.62 × 1,810.23
  4. Step 4: Simplify right side
    1,866.54x = 5,035,362.92
  5. Step 5: Solve for x
    x = 5,035,362.92/1,866.54
  6. Step 6: Final answer
    x = 2,697.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.