Home / 7,829.87-11,746.47-2,564.50

Finding the Fourth Proportional to 7,829.87, 11,746.47 and 2,564.50

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Solution

The fourth proportional to 7,829.87, 11,746.47 and 2,564.50 is: 3,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.87 : 11,746.47 = 2,564.50 : x
  2. Step 2: Convert to fraction form
    7,829.87/11,746.47 = 2,564.50/x
  3. Step 3: Cross multiply
    7,829.87x = 11,746.47 × 2,564.50
  4. Step 4: Simplify right side
    7,829.87x = 30,123,763.58
  5. Step 5: Solve for x
    x = 30,123,763.58/7,829.87
  6. Step 6: Final answer
    x = 3,847.29

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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.