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Finding the Fourth Proportional to 9,977.40, 13,763.18 and 6,244.92

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Solution

The fourth proportional to 9,977.40, 13,763.18 and 6,244.92 is: 8,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.40 : 13,763.18 = 6,244.92 : x
  2. Step 2: Convert to fraction form
    9,977.40/13,763.18 = 6,244.92/x
  3. Step 3: Cross multiply
    9,977.40x = 13,763.18 × 6,244.92
  4. Step 4: Simplify right side
    9,977.40x = 85,949,958.05
  5. Step 5: Solve for x
    x = 85,949,958.05/9,977.40
  6. Step 6: Final answer
    x = 8,614.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.