Home / 8,400-12,583.20-5,111.04

Finding the Fourth Proportional to 8,400, 12,583.20 and 5,111.04

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Solution

The fourth proportional to 8,400, 12,583.20 and 5,111.04 is: 7,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 12,583.20 = 5,111.04 : x
  2. Step 2: Convert to fraction form
    8,400/12,583.20 = 5,111.04/x
  3. Step 3: Cross multiply
    8,400x = 12,583.20 × 5,111.04
  4. Step 4: Simplify right side
    8,400x = 64,313,238.53
  5. Step 5: Solve for x
    x = 64,313,238.53/8,400
  6. Step 6: Final answer
    x = 7,656.34

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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.