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Finding the Fourth Proportional to 38,047, 57,070.68 and 10,345

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Solution

The fourth proportional to 38,047, 57,070.68 and 10,345 is: 15,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,047 : 57,070.68 = 10,345 : x
  2. Step 2: Convert to fraction form
    38,047/57,070.68 = 10,345/x
  3. Step 3: Cross multiply
    38,047x = 57,070.68 × 10,345
  4. Step 4: Simplify right side
    38,047x = 590,396,184.60
  5. Step 5: Solve for x
    x = 590,396,184.60/38,047
  6. Step 6: Final answer
    x = 15,517.55

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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.