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Finding the Fourth Proportional to 2,838.60, 4,247.10 and 1,866.60

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Solution

The fourth proportional to 2,838.60, 4,247.10 and 1,866.60 is: 2,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.60 : 4,247.10 = 1,866.60 : x
  2. Step 2: Convert to fraction form
    2,838.60/4,247.10 = 1,866.60/x
  3. Step 3: Cross multiply
    2,838.60x = 4,247.10 × 1,866.60
  4. Step 4: Simplify right side
    2,838.60x = 7,927,636.86
  5. Step 5: Solve for x
    x = 7,927,636.86/2,838.60
  6. Step 6: Final answer
    x = 2,792.80

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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.