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Finding the Fourth Proportional to 9,620.02, 14,436.12 and 3,776.50

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Solution

The fourth proportional to 9,620.02, 14,436.12 and 3,776.50 is: 5,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.02 : 14,436.12 = 3,776.50 : x
  2. Step 2: Convert to fraction form
    9,620.02/14,436.12 = 3,776.50/x
  3. Step 3: Cross multiply
    9,620.02x = 14,436.12 × 3,776.50
  4. Step 4: Simplify right side
    9,620.02x = 54,518,007.18
  5. Step 5: Solve for x
    x = 54,518,007.18/9,620.02
  6. Step 6: Final answer
    x = 5,667.14

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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.