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Finding the Fourth Proportional to 9,885.19, 14,830.14 and 3,221.65

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Solution

The fourth proportional to 9,885.19, 14,830.14 and 3,221.65 is: 4,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.19 : 14,830.14 = 3,221.65 : x
  2. Step 2: Convert to fraction form
    9,885.19/14,830.14 = 3,221.65/x
  3. Step 3: Cross multiply
    9,885.19x = 14,830.14 × 3,221.65
  4. Step 4: Simplify right side
    9,885.19x = 47,777,520.53
  5. Step 5: Solve for x
    x = 47,777,520.53/9,885.19
  6. Step 6: Final answer
    x = 4,833.24

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1.5x scale

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.