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Finding the Fourth Proportional to 3,612.50, 4,985.26 and 1,956.50

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Solution

The fourth proportional to 3,612.50, 4,985.26 and 1,956.50 is: 2,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.50 : 4,985.26 = 1,956.50 : x
  2. Step 2: Convert to fraction form
    3,612.50/4,985.26 = 1,956.50/x
  3. Step 3: Cross multiply
    3,612.50x = 4,985.26 × 1,956.50
  4. Step 4: Simplify right side
    3,612.50x = 9,753,661.19
  5. Step 5: Solve for x
    x = 9,753,661.19/3,612.50
  6. Step 6: Final answer
    x = 2,699.98

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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.