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Finding the Fourth Proportional to 5,300.46, 7,950.15 and 1,405.26

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Solution

The fourth proportional to 5,300.46, 7,950.15 and 1,405.26 is: 2,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.46 : 7,950.15 = 1,405.26 : x
  2. Step 2: Convert to fraction form
    5,300.46/7,950.15 = 1,405.26/x
  3. Step 3: Cross multiply
    5,300.46x = 7,950.15 × 1,405.26
  4. Step 4: Simplify right side
    5,300.46x = 11,172,027.79
  5. Step 5: Solve for x
    x = 11,172,027.79/5,300.46
  6. Step 6: Final answer
    x = 2,107.75

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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.