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Finding the Fourth Proportional to 38,346.88, 57,442.56 and 19,840

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Solution

The fourth proportional to 38,346.88, 57,442.56 and 19,840 is: 29,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346.88 : 57,442.56 = 19,840 : x
  2. Step 2: Convert to fraction form
    38,346.88/57,442.56 = 19,840/x
  3. Step 3: Cross multiply
    38,346.88x = 57,442.56 × 19,840
  4. Step 4: Simplify right side
    38,346.88x = 1,139,660,390.40
  5. Step 5: Solve for x
    x = 1,139,660,390.40/38,346.88
  6. Step 6: Final answer
    x = 29,719.77

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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.