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Finding the Fourth Proportional to 4,610.72, 6,916.08 and 1,689.36

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Solution

The fourth proportional to 4,610.72, 6,916.08 and 1,689.36 is: 2,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.72 : 6,916.08 = 1,689.36 : x
  2. Step 2: Convert to fraction form
    4,610.72/6,916.08 = 1,689.36/x
  3. Step 3: Cross multiply
    4,610.72x = 6,916.08 × 1,689.36
  4. Step 4: Simplify right side
    4,610.72x = 11,683,748.91
  5. Step 5: Solve for x
    x = 11,683,748.91/4,610.72
  6. Step 6: Final answer
    x = 2,534.04

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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.