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Finding the Fourth Proportional to 2,951.53, 4,070.48 and 2,099.11

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Solution

The fourth proportional to 2,951.53, 4,070.48 and 2,099.11 is: 2,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.53 : 4,070.48 = 2,099.11 : x
  2. Step 2: Convert to fraction form
    2,951.53/4,070.48 = 2,099.11/x
  3. Step 3: Cross multiply
    2,951.53x = 4,070.48 × 2,099.11
  4. Step 4: Simplify right side
    2,951.53x = 8,544,364.60
  5. Step 5: Solve for x
    x = 8,544,364.60/2,951.53
  6. Step 6: Final answer
    x = 2,894.90

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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.