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Finding the Fourth Proportional to 7,838.51, 11,768.74 and 5,214.11

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Solution

The fourth proportional to 7,838.51, 11,768.74 and 5,214.11 is: 7,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.51 : 11,768.74 = 5,214.11 : x
  2. Step 2: Convert to fraction form
    7,838.51/11,768.74 = 5,214.11/x
  3. Step 3: Cross multiply
    7,838.51x = 11,768.74 × 5,214.11
  4. Step 4: Simplify right side
    7,838.51x = 61,363,433.04
  5. Step 5: Solve for x
    x = 61,363,433.04/7,838.51
  6. Step 6: Final answer
    x = 7,828.46

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Why These Related Problems?

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