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Finding the Fourth Proportional to 38,012, 57,026.80 and 13,388

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Solution

The fourth proportional to 38,012, 57,026.80 and 13,388 is: 20,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012 : 57,026.80 = 13,388 : x
  2. Step 2: Convert to fraction form
    38,012/57,026.80 = 13,388/x
  3. Step 3: Cross multiply
    38,012x = 57,026.80 × 13,388
  4. Step 4: Simplify right side
    38,012x = 763,474,798.40
  5. Step 5: Solve for x
    x = 763,474,798.40/38,012
  6. Step 6: Final answer
    x = 20,085.10

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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.