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Finding the Fourth Proportional to 9,664.73, 14,496.38 and 3,089.15

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Solution

The fourth proportional to 9,664.73, 14,496.38 and 3,089.15 is: 4,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.73 : 14,496.38 = 3,089.15 : x
  2. Step 2: Convert to fraction form
    9,664.73/14,496.38 = 3,089.15/x
  3. Step 3: Cross multiply
    9,664.73x = 14,496.38 × 3,089.15
  4. Step 4: Simplify right side
    9,664.73x = 44,781,492.28
  5. Step 5: Solve for x
    x = 44,781,492.28/9,664.73
  6. Step 6: Final answer
    x = 4,633.50

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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.