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Finding the Fourth Proportional to 10,145, 15,217.51 and 3,219.50

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Solution

The fourth proportional to 10,145, 15,217.51 and 3,219.50 is: 4,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145 : 15,217.51 = 3,219.50 : x
  2. Step 2: Convert to fraction form
    10,145/15,217.51 = 3,219.50/x
  3. Step 3: Cross multiply
    10,145x = 15,217.51 × 3,219.50
  4. Step 4: Simplify right side
    10,145x = 48,992,757.35
  5. Step 5: Solve for x
    x = 48,992,757.35/10,145
  6. Step 6: Final answer
    x = 4,829.25

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Double scale
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Similar ratio
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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.