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Finding the Fourth Proportional to 7,166.81, 9,885.92 and 4,509.61

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Solution

The fourth proportional to 7,166.81, 9,885.92 and 4,509.61 is: 6,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.81 : 9,885.92 = 4,509.61 : x
  2. Step 2: Convert to fraction form
    7,166.81/9,885.92 = 4,509.61/x
  3. Step 3: Cross multiply
    7,166.81x = 9,885.92 × 4,509.61
  4. Step 4: Simplify right side
    7,166.81x = 44,581,596.43
  5. Step 5: Solve for x
    x = 44,581,596.43/7,166.81
  6. Step 6: Final answer
    x = 6,220.56

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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.