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Finding the Fourth Proportional to 8,580, 11,841.12 and 5,435.04

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Solution

The fourth proportional to 8,580, 11,841.12 and 5,435.04 is: 7,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 11,841.12 = 5,435.04 : x
  2. Step 2: Convert to fraction form
    8,580/11,841.12 = 5,435.04/x
  3. Step 3: Cross multiply
    8,580x = 11,841.12 × 5,435.04
  4. Step 4: Simplify right side
    8,580x = 64,356,960.84
  5. Step 5: Solve for x
    x = 64,356,960.84/8,580
  6. Step 6: Final answer
    x = 7,500.81

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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.