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Finding the Fourth Proportional to 5,323.61, 7,986.65 and 1,625.83

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Solution

The fourth proportional to 5,323.61, 7,986.65 and 1,625.83 is: 2,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.61 : 7,986.65 = 1,625.83 : x
  2. Step 2: Convert to fraction form
    5,323.61/7,986.65 = 1,625.83/x
  3. Step 3: Cross multiply
    5,323.61x = 7,986.65 × 1,625.83
  4. Step 4: Simplify right side
    5,323.61x = 12,984,887.11
  5. Step 5: Solve for x
    x = 12,984,887.11/5,323.61
  6. Step 6: Final answer
    x = 2,439.11

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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.