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Finding the Fourth Proportional to 9,850, 14,777.16 and 3,280.90

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Solution

The fourth proportional to 9,850, 14,777.16 and 3,280.90 is: 4,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850 : 14,777.16 = 3,280.90 : x
  2. Step 2: Convert to fraction form
    9,850/14,777.16 = 3,280.90/x
  3. Step 3: Cross multiply
    9,850x = 14,777.16 × 3,280.90
  4. Step 4: Simplify right side
    9,850x = 48,482,384.24
  5. Step 5: Solve for x
    x = 48,482,384.24/9,850
  6. Step 6: Final answer
    x = 4,922.07

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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.