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Finding the Fourth Proportional to 7,838.70, 11,743.50 and 4,503.12

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Solution

The fourth proportional to 7,838.70, 11,743.50 and 4,503.12 is: 6,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.70 : 11,743.50 = 4,503.12 : x
  2. Step 2: Convert to fraction form
    7,838.70/11,743.50 = 4,503.12/x
  3. Step 3: Cross multiply
    7,838.70x = 11,743.50 × 4,503.12
  4. Step 4: Simplify right side
    7,838.70x = 52,882,389.72
  5. Step 5: Solve for x
    x = 52,882,389.72/7,838.70
  6. Step 6: Final answer
    x = 6,746.32

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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.