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Finding the Fourth Proportional to 12,497.56, 18,748.20 and 4,175.20

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Solution

The fourth proportional to 12,497.56, 18,748.20 and 4,175.20 is: 6,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.56 : 18,748.20 = 4,175.20 : x
  2. Step 2: Convert to fraction form
    12,497.56/18,748.20 = 4,175.20/x
  3. Step 3: Cross multiply
    12,497.56x = 18,748.20 × 4,175.20
  4. Step 4: Simplify right side
    12,497.56x = 78,277,484.64
  5. Step 5: Solve for x
    x = 78,277,484.64/12,497.56
  6. Step 6: Final answer
    x = 6,263.42

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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.