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Finding the Fourth Proportional to 9,290.14, 12,820.42 and 5,098.42

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Solution

The fourth proportional to 9,290.14, 12,820.42 and 5,098.42 is: 7,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.14 : 12,820.42 = 5,098.42 : x
  2. Step 2: Convert to fraction form
    9,290.14/12,820.42 = 5,098.42/x
  3. Step 3: Cross multiply
    9,290.14x = 12,820.42 × 5,098.42
  4. Step 4: Simplify right side
    9,290.14x = 65,363,885.74
  5. Step 5: Solve for x
    x = 65,363,885.74/9,290.14
  6. Step 6: Final answer
    x = 7,035.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.