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Finding the Fourth Proportional to 9,991.40, 14,969.10 and 4,785.80

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Solution

The fourth proportional to 9,991.40, 14,969.10 and 4,785.80 is: 7,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.40 : 14,969.10 = 4,785.80 : x
  2. Step 2: Convert to fraction form
    9,991.40/14,969.10 = 4,785.80/x
  3. Step 3: Cross multiply
    9,991.40x = 14,969.10 × 4,785.80
  4. Step 4: Simplify right side
    9,991.40x = 71,639,118.78
  5. Step 5: Solve for x
    x = 71,639,118.78/9,991.40
  6. Step 6: Final answer
    x = 7,170.08

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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.