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Finding the Fourth Proportional to 1,672.96, 2,308.34 and 1,009.84

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Solution

The fourth proportional to 1,672.96, 2,308.34 and 1,009.84 is: 1,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.96 : 2,308.34 = 1,009.84 : x
  2. Step 2: Convert to fraction form
    1,672.96/2,308.34 = 1,009.84/x
  3. Step 3: Cross multiply
    1,672.96x = 2,308.34 × 1,009.84
  4. Step 4: Simplify right side
    1,672.96x = 2,331,054.07
  5. Step 5: Solve for x
    x = 2,331,054.07/1,672.96
  6. Step 6: Final answer
    x = 1,393.37

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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.