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Finding the Fourth Proportional to 4,992, 6,894.72 and 3,417.36

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Solution

The fourth proportional to 4,992, 6,894.72 and 3,417.36 is: 4,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 6,894.72 = 3,417.36 : x
  2. Step 2: Convert to fraction form
    4,992/6,894.72 = 3,417.36/x
  3. Step 3: Cross multiply
    4,992x = 6,894.72 × 3,417.36
  4. Step 4: Simplify right side
    4,992x = 23,561,740.34
  5. Step 5: Solve for x
    x = 23,561,740.34/4,992
  6. Step 6: Final answer
    x = 4,719.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.