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Finding the Fourth Proportional to 10,019.16, 15,031.20 and 3,445.44

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Solution

The fourth proportional to 10,019.16, 15,031.20 and 3,445.44 is: 5,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.16 : 15,031.20 = 3,445.44 : x
  2. Step 2: Convert to fraction form
    10,019.16/15,031.20 = 3,445.44/x
  3. Step 3: Cross multiply
    10,019.16x = 15,031.20 × 3,445.44
  4. Step 4: Simplify right side
    10,019.16x = 51,789,097.73
  5. Step 5: Solve for x
    x = 51,789,097.73/10,019.16
  6. Step 6: Final answer
    x = 5,169.01

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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.