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Finding the Fourth Proportional to 9,969.70, 14,954.55 and 6,859.30

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Solution

The fourth proportional to 9,969.70, 14,954.55 and 6,859.30 is: 10,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.70 : 14,954.55 = 6,859.30 : x
  2. Step 2: Convert to fraction form
    9,969.70/14,954.55 = 6,859.30/x
  3. Step 3: Cross multiply
    9,969.70x = 14,954.55 × 6,859.30
  4. Step 4: Simplify right side
    9,969.70x = 102,577,744.82
  5. Step 5: Solve for x
    x = 102,577,744.82/9,969.70
  6. Step 6: Final answer
    x = 10,288.95

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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.