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Finding the Fourth Proportional to 13,071.38, 19,615.70 and 6,146.42

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Solution

The fourth proportional to 13,071.38, 19,615.70 and 6,146.42 is: 9,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.38 : 19,615.70 = 6,146.42 : x
  2. Step 2: Convert to fraction form
    13,071.38/19,615.70 = 6,146.42/x
  3. Step 3: Cross multiply
    13,071.38x = 19,615.70 × 6,146.42
  4. Step 4: Simplify right side
    13,071.38x = 120,566,248.08
  5. Step 5: Solve for x
    x = 120,566,248.08/13,071.38
  6. Step 6: Final answer
    x = 9,223.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.