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Finding the Fourth Proportional to 4,653.78, 6,977.60 and 1,691.66

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Solution

The fourth proportional to 4,653.78, 6,977.60 and 1,691.66 is: 2,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.78 : 6,977.60 = 1,691.66 : x
  2. Step 2: Convert to fraction form
    4,653.78/6,977.60 = 1,691.66/x
  3. Step 3: Cross multiply
    4,653.78x = 6,977.60 × 1,691.66
  4. Step 4: Simplify right side
    4,653.78x = 11,803,726.82
  5. Step 5: Solve for x
    x = 11,803,726.82/4,653.78
  6. Step 6: Final answer
    x = 2,536.37

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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.