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Finding the Fourth Proportional to 3,107.77, 4,661.62 and 916.52

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Solution

The fourth proportional to 3,107.77, 4,661.62 and 916.52 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.77 : 4,661.62 = 916.52 : x
  2. Step 2: Convert to fraction form
    3,107.77/4,661.62 = 916.52/x
  3. Step 3: Cross multiply
    3,107.77x = 4,661.62 × 916.52
  4. Step 4: Simplify right side
    3,107.77x = 4,272,442.36
  5. Step 5: Solve for x
    x = 4,272,442.36/3,107.77
  6. Step 6: Final answer
    x = 1,374.76

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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.