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Finding the Fourth Proportional to 8,580, 12,799.14 and 7,271.94

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Solution

The fourth proportional to 8,580, 12,799.14 and 7,271.94 is: 10,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 12,799.14 = 7,271.94 : x
  2. Step 2: Convert to fraction form
    8,580/12,799.14 = 7,271.94/x
  3. Step 3: Cross multiply
    8,580x = 12,799.14 × 7,271.94
  4. Step 4: Simplify right side
    8,580x = 93,074,578.13
  5. Step 5: Solve for x
    x = 93,074,578.13/8,580
  6. Step 6: Final answer
    x = 10,847.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.