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Finding the Fourth Proportional to 9,410.94, 14,113.53 and 3,253.50

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Solution

The fourth proportional to 9,410.94, 14,113.53 and 3,253.50 is: 4,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.94 : 14,113.53 = 3,253.50 : x
  2. Step 2: Convert to fraction form
    9,410.94/14,113.53 = 3,253.50/x
  3. Step 3: Cross multiply
    9,410.94x = 14,113.53 × 3,253.50
  4. Step 4: Simplify right side
    9,410.94x = 45,918,369.86
  5. Step 5: Solve for x
    x = 45,918,369.86/9,410.94
  6. Step 6: Final answer
    x = 4,879.25

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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.