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Finding the Fourth Proportional to 9,646.40, 14,470.40 and 3,072.40

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Solution

The fourth proportional to 9,646.40, 14,470.40 and 3,072.40 is: 4,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.40 : 14,470.40 = 3,072.40 : x
  2. Step 2: Convert to fraction form
    9,646.40/14,470.40 = 3,072.40/x
  3. Step 3: Cross multiply
    9,646.40x = 14,470.40 × 3,072.40
  4. Step 4: Simplify right side
    9,646.40x = 44,458,856.96
  5. Step 5: Solve for x
    x = 44,458,856.96/9,646.40
  6. Step 6: Final answer
    x = 4,608.85

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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.