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Finding the Fourth Proportional to 3,362.40, 5,043.84 and 1,053.90

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Solution

The fourth proportional to 3,362.40, 5,043.84 and 1,053.90 is: 1,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.40 : 5,043.84 = 1,053.90 : x
  2. Step 2: Convert to fraction form
    3,362.40/5,043.84 = 1,053.90/x
  3. Step 3: Cross multiply
    3,362.40x = 5,043.84 × 1,053.90
  4. Step 4: Simplify right side
    3,362.40x = 5,315,702.98
  5. Step 5: Solve for x
    x = 5,315,702.98/3,362.40
  6. Step 6: Final answer
    x = 1,580.93

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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.