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Finding the Fourth Proportional to 18,861.16, 28,280.08 and 6,380

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Solution

The fourth proportional to 18,861.16, 28,280.08 and 6,380 is: 9,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,861.16 : 28,280.08 = 6,380 : x
  2. Step 2: Convert to fraction form
    18,861.16/28,280.08 = 6,380/x
  3. Step 3: Cross multiply
    18,861.16x = 28,280.08 × 6,380
  4. Step 4: Simplify right side
    18,861.16x = 180,426,910.40
  5. Step 5: Solve for x
    x = 180,426,910.40/18,861.16
  6. Step 6: Final answer
    x = 9,566.06

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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.