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Finding the Fourth Proportional to 3,307.80, 4,563.93 and 2,646

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Solution

The fourth proportional to 3,307.80, 4,563.93 and 2,646 is: 3,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.80 : 4,563.93 = 2,646 : x
  2. Step 2: Convert to fraction form
    3,307.80/4,563.93 = 2,646/x
  3. Step 3: Cross multiply
    3,307.80x = 4,563.93 × 2,646
  4. Step 4: Simplify right side
    3,307.80x = 12,076,158.78
  5. Step 5: Solve for x
    x = 12,076,158.78/3,307.80
  6. Step 6: Final answer
    x = 3,650.81

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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.