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Finding the Fourth Proportional to 3,185.64, 4,774.86 and 1,237.50

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Solution

The fourth proportional to 3,185.64, 4,774.86 and 1,237.50 is: 1,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.64 : 4,774.86 = 1,237.50 : x
  2. Step 2: Convert to fraction form
    3,185.64/4,774.86 = 1,237.50/x
  3. Step 3: Cross multiply
    3,185.64x = 4,774.86 × 1,237.50
  4. Step 4: Simplify right side
    3,185.64x = 5,908,889.25
  5. Step 5: Solve for x
    x = 5,908,889.25/3,185.64
  6. Step 6: Final answer
    x = 1,854.85

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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.