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Finding the Fourth Proportional to 2,485.77, 3,729.14 and 841.88

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Solution

The fourth proportional to 2,485.77, 3,729.14 and 841.88 is: 1,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.77 : 3,729.14 = 841.88 : x
  2. Step 2: Convert to fraction form
    2,485.77/3,729.14 = 841.88/x
  3. Step 3: Cross multiply
    2,485.77x = 3,729.14 × 841.88
  4. Step 4: Simplify right side
    2,485.77x = 3,139,465.53
  5. Step 5: Solve for x
    x = 3,139,465.53/2,485.77
  6. Step 6: Final answer
    x = 1,262.98

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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.