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Finding the Fourth Proportional to 9,561, 14,347.98 and 3,405

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Solution

The fourth proportional to 9,561, 14,347.98 and 3,405 is: 5,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 14,347.98 = 3,405 : x
  2. Step 2: Convert to fraction form
    9,561/14,347.98 = 3,405/x
  3. Step 3: Cross multiply
    9,561x = 14,347.98 × 3,405
  4. Step 4: Simplify right side
    9,561x = 48,854,871.90
  5. Step 5: Solve for x
    x = 48,854,871.90/9,561
  6. Step 6: Final answer
    x = 5,109.81

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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.