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Finding the Fourth Proportional to 3,407.88, 4,702.68 and 1,916.28

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Solution

The fourth proportional to 3,407.88, 4,702.68 and 1,916.28 is: 2,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.88 : 4,702.68 = 1,916.28 : x
  2. Step 2: Convert to fraction form
    3,407.88/4,702.68 = 1,916.28/x
  3. Step 3: Cross multiply
    3,407.88x = 4,702.68 × 1,916.28
  4. Step 4: Simplify right side
    3,407.88x = 9,011,651.63
  5. Step 5: Solve for x
    x = 9,011,651.63/3,407.88
  6. Step 6: Final answer
    x = 2,644.36

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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.