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Finding the Fourth Proportional to 5,300.97, 7,951.53 and 1,405.35

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Solution

The fourth proportional to 5,300.97, 7,951.53 and 1,405.35 is: 2,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.97 : 7,951.53 = 1,405.35 : x
  2. Step 2: Convert to fraction form
    5,300.97/7,951.53 = 1,405.35/x
  3. Step 3: Cross multiply
    5,300.97x = 7,951.53 × 1,405.35
  4. Step 4: Simplify right side
    5,300.97x = 11,174,682.69
  5. Step 5: Solve for x
    x = 11,174,682.69/5,300.97
  6. Step 6: Final answer
    x = 2,108.04

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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.