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Finding the Fourth Proportional to 1,782.71, 2,673.10 and 992.31

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Solution

The fourth proportional to 1,782.71, 2,673.10 and 992.31 is: 1,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.71 : 2,673.10 = 992.31 : x
  2. Step 2: Convert to fraction form
    1,782.71/2,673.10 = 992.31/x
  3. Step 3: Cross multiply
    1,782.71x = 2,673.10 × 992.31
  4. Step 4: Simplify right side
    1,782.71x = 2,652,538.90
  5. Step 5: Solve for x
    x = 2,652,538.90/1,782.71
  6. Step 6: Final answer
    x = 1,487.93

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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.