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Finding the Fourth Proportional to 3,108, 4,662.48 and 1,810.08

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Solution

The fourth proportional to 3,108, 4,662.48 and 1,810.08 is: 2,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108 : 4,662.48 = 1,810.08 : x
  2. Step 2: Convert to fraction form
    3,108/4,662.48 = 1,810.08/x
  3. Step 3: Cross multiply
    3,108x = 4,662.48 × 1,810.08
  4. Step 4: Simplify right side
    3,108x = 8,439,461.80
  5. Step 5: Solve for x
    x = 8,439,461.80/3,108
  6. Step 6: Final answer
    x = 2,715.40

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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.