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Finding the Fourth Proportional to 9,969.80, 14,954.70 and 5,304.20

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Solution

The fourth proportional to 9,969.80, 14,954.70 and 5,304.20 is: 7,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.80 : 14,954.70 = 5,304.20 : x
  2. Step 2: Convert to fraction form
    9,969.80/14,954.70 = 5,304.20/x
  3. Step 3: Cross multiply
    9,969.80x = 14,954.70 × 5,304.20
  4. Step 4: Simplify right side
    9,969.80x = 79,322,719.74
  5. Step 5: Solve for x
    x = 79,322,719.74/9,969.80
  6. Step 6: Final answer
    x = 7,956.30

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1.5x scale

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.