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Finding the Fourth Proportional to 2,838.93, 4,260.33 and 990.03

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Solution

The fourth proportional to 2,838.93, 4,260.33 and 990.03 is: 1,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.93 : 4,260.33 = 990.03 : x
  2. Step 2: Convert to fraction form
    2,838.93/4,260.33 = 990.03/x
  3. Step 3: Cross multiply
    2,838.93x = 4,260.33 × 990.03
  4. Step 4: Simplify right side
    2,838.93x = 4,217,854.51
  5. Step 5: Solve for x
    x = 4,217,854.51/2,838.93
  6. Step 6: Final answer
    x = 1,485.72

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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.