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Finding the Fourth Proportional to 9,200.50, 13,802.94 and 3,044.50

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Solution

The fourth proportional to 9,200.50, 13,802.94 and 3,044.50 is: 4,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.50 : 13,802.94 = 3,044.50 : x
  2. Step 2: Convert to fraction form
    9,200.50/13,802.94 = 3,044.50/x
  3. Step 3: Cross multiply
    9,200.50x = 13,802.94 × 3,044.50
  4. Step 4: Simplify right side
    9,200.50x = 42,023,050.83
  5. Step 5: Solve for x
    x = 42,023,050.83/9,200.50
  6. Step 6: Final answer
    x = 4,567.47

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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.