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Finding the Fourth Proportional to 8,580, 12,859.12 and 3,643.84

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Solution

The fourth proportional to 8,580, 12,859.12 and 3,643.84 is: 5,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 12,859.12 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    8,580/12,859.12 = 3,643.84/x
  3. Step 3: Cross multiply
    8,580x = 12,859.12 × 3,643.84
  4. Step 4: Simplify right side
    8,580x = 46,856,575.82
  5. Step 5: Solve for x
    x = 46,856,575.82/8,580
  6. Step 6: Final answer
    x = 5,461.14

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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.