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Finding the Fourth Proportional to 1,335.51, 2,000.03 and 923.49

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Solution

The fourth proportional to 1,335.51, 2,000.03 and 923.49 is: 1,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.51 : 2,000.03 = 923.49 : x
  2. Step 2: Convert to fraction form
    1,335.51/2,000.03 = 923.49/x
  3. Step 3: Cross multiply
    1,335.51x = 2,000.03 × 923.49
  4. Step 4: Simplify right side
    1,335.51x = 1,847,003.09
  5. Step 5: Solve for x
    x = 1,847,003.09/1,335.51
  6. Step 6: Final answer
    x = 1,382.99

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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.