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Finding the Fourth Proportional to 12,494.64, 17,244.12 and 9,505.20

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Solution

The fourth proportional to 12,494.64, 17,244.12 and 9,505.20 is: 13,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.64 : 17,244.12 = 9,505.20 : x
  2. Step 2: Convert to fraction form
    12,494.64/17,244.12 = 9,505.20/x
  3. Step 3: Cross multiply
    12,494.64x = 17,244.12 × 9,505.20
  4. Step 4: Simplify right side
    12,494.64x = 163,908,809.42
  5. Step 5: Solve for x
    x = 163,908,809.42/12,494.64
  6. Step 6: Final answer
    x = 13,118.33

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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.