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Finding the Fourth Proportional to 9,205.76, 12,699.90 and 6,220.50

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Solution

The fourth proportional to 9,205.76, 12,699.90 and 6,220.50 is: 8,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.76 : 12,699.90 = 6,220.50 : x
  2. Step 2: Convert to fraction form
    9,205.76/12,699.90 = 6,220.50/x
  3. Step 3: Cross multiply
    9,205.76x = 12,699.90 × 6,220.50
  4. Step 4: Simplify right side
    9,205.76x = 78,999,727.95
  5. Step 5: Solve for x
    x = 78,999,727.95/9,205.76
  6. Step 6: Final answer
    x = 8,581.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.