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Finding the Fourth Proportional to 9,969.76, 14,954.88 and 4,769.92

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Solution

The fourth proportional to 9,969.76, 14,954.88 and 4,769.92 is: 7,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.76 : 14,954.88 = 4,769.92 : x
  2. Step 2: Convert to fraction form
    9,969.76/14,954.88 = 4,769.92/x
  3. Step 3: Cross multiply
    9,969.76x = 14,954.88 × 4,769.92
  4. Step 4: Simplify right side
    9,969.76x = 71,333,581.21
  5. Step 5: Solve for x
    x = 71,333,581.21/9,969.76
  6. Step 6: Final answer
    x = 7,154.99

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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.