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Finding the Fourth Proportional to 1,050.08, 1,447.20 and 1,020.11

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Solution

The fourth proportional to 1,050.08, 1,447.20 and 1,020.11 is: 1,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.08 : 1,447.20 = 1,020.11 : x
  2. Step 2: Convert to fraction form
    1,050.08/1,447.20 = 1,020.11/x
  3. Step 3: Cross multiply
    1,050.08x = 1,447.20 × 1,020.11
  4. Step 4: Simplify right side
    1,050.08x = 1,476,295.96
  5. Step 5: Solve for x
    x = 1,476,295.96/1,050.08
  6. Step 6: Final answer
    x = 1,405.90

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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.