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Finding the Fourth Proportional to 28,580.24, 42,871.98 and 9,861.14

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Solution

The fourth proportional to 28,580.24, 42,871.98 and 9,861.14 is: 14,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580.24 : 42,871.98 = 9,861.14 : x
  2. Step 2: Convert to fraction form
    28,580.24/42,871.98 = 9,861.14/x
  3. Step 3: Cross multiply
    28,580.24x = 42,871.98 × 9,861.14
  4. Step 4: Simplify right side
    28,580.24x = 422,766,596.86
  5. Step 5: Solve for x
    x = 422,766,596.86/28,580.24
  6. Step 6: Final answer
    x = 14,792.27

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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.