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Finding the Fourth Proportional to 3,929.60, 5,894.40 and 1,007.80

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Solution

The fourth proportional to 3,929.60, 5,894.40 and 1,007.80 is: 1,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.60 : 5,894.40 = 1,007.80 : x
  2. Step 2: Convert to fraction form
    3,929.60/5,894.40 = 1,007.80/x
  3. Step 3: Cross multiply
    3,929.60x = 5,894.40 × 1,007.80
  4. Step 4: Simplify right side
    3,929.60x = 5,940,376.32
  5. Step 5: Solve for x
    x = 5,940,376.32/3,929.60
  6. Step 6: Final answer
    x = 1,511.70

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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.