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Finding the Fourth Proportional to 9,661.65, 14,493.70 and 3,420.20

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Solution

The fourth proportional to 9,661.65, 14,493.70 and 3,420.20 is: 5,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.65 : 14,493.70 = 3,420.20 : x
  2. Step 2: Convert to fraction form
    9,661.65/14,493.70 = 3,420.20/x
  3. Step 3: Cross multiply
    9,661.65x = 14,493.70 × 3,420.20
  4. Step 4: Simplify right side
    9,661.65x = 49,571,352.74
  5. Step 5: Solve for x
    x = 49,571,352.74/9,661.65
  6. Step 6: Final answer
    x = 5,130.73

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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.