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Finding the Fourth Proportional to 30,342.52, 45,516.30 and 9,281.98

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Solution

The fourth proportional to 30,342.52, 45,516.30 and 9,281.98 is: 13,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.52 : 45,516.30 = 9,281.98 : x
  2. Step 2: Convert to fraction form
    30,342.52/45,516.30 = 9,281.98/x
  3. Step 3: Cross multiply
    30,342.52x = 45,516.30 × 9,281.98
  4. Step 4: Simplify right side
    30,342.52x = 422,481,386.27
  5. Step 5: Solve for x
    x = 422,481,386.27/30,342.52
  6. Step 6: Final answer
    x = 13,923.74

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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.