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Finding the Fourth Proportional to 2,539.55, 3,808.50 and 807.77

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Solution

The fourth proportional to 2,539.55, 3,808.50 and 807.77 is: 1,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.55 : 3,808.50 = 807.77 : x
  2. Step 2: Convert to fraction form
    2,539.55/3,808.50 = 807.77/x
  3. Step 3: Cross multiply
    2,539.55x = 3,808.50 × 807.77
  4. Step 4: Simplify right side
    2,539.55x = 3,076,392.05
  5. Step 5: Solve for x
    x = 3,076,392.05/2,539.55
  6. Step 6: Final answer
    x = 1,211.39

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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.