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Finding the Fourth Proportional to 6,920.78, 10,372.77 and 4,916.34

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Solution

The fourth proportional to 6,920.78, 10,372.77 and 4,916.34 is: 7,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.78 : 10,372.77 = 4,916.34 : x
  2. Step 2: Convert to fraction form
    6,920.78/10,372.77 = 4,916.34/x
  3. Step 3: Cross multiply
    6,920.78x = 10,372.77 × 4,916.34
  4. Step 4: Simplify right side
    6,920.78x = 50,996,064.06
  5. Step 5: Solve for x
    x = 50,996,064.06/6,920.78
  6. Step 6: Final answer
    x = 7,368.55

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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.