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Finding the Fourth Proportional to 9,114.12, 13,644.72 and 6,931.44

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Solution

The fourth proportional to 9,114.12, 13,644.72 and 6,931.44 is: 10,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.12 : 13,644.72 = 6,931.44 : x
  2. Step 2: Convert to fraction form
    9,114.12/13,644.72 = 6,931.44/x
  3. Step 3: Cross multiply
    9,114.12x = 13,644.72 × 6,931.44
  4. Step 4: Simplify right side
    9,114.12x = 94,577,558.00
  5. Step 5: Solve for x
    x = 94,577,558.00/9,114.12
  6. Step 6: Final answer
    x = 10,377.04

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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.