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Finding the Fourth Proportional to 38,012, 57,019.08 and 10,310

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Solution

The fourth proportional to 38,012, 57,019.08 and 10,310 is: 15,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012 : 57,019.08 = 10,310 : x
  2. Step 2: Convert to fraction form
    38,012/57,019.08 = 10,310/x
  3. Step 3: Cross multiply
    38,012x = 57,019.08 × 10,310
  4. Step 4: Simplify right side
    38,012x = 587,866,714.80
  5. Step 5: Solve for x
    x = 587,866,714.80/38,012
  6. Step 6: Final answer
    x = 15,465.29

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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.