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Finding the Fourth Proportional to 38,403, 57,630.45 and 13,443.29

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Solution

The fourth proportional to 38,403, 57,630.45 and 13,443.29 is: 20,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403 : 57,630.45 = 13,443.29 : x
  2. Step 2: Convert to fraction form
    38,403/57,630.45 = 13,443.29/x
  3. Step 3: Cross multiply
    38,403x = 57,630.45 × 13,443.29
  4. Step 4: Simplify right side
    38,403x = 774,742,564.03
  5. Step 5: Solve for x
    x = 774,742,564.03/38,403
  6. Step 6: Final answer
    x = 20,174.01

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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.