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Finding the Fourth Proportional to 13,099.61, 19,658.93 and 9,821.54

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Solution

The fourth proportional to 13,099.61, 19,658.93 and 9,821.54 is: 14,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.61 : 19,658.93 = 9,821.54 : x
  2. Step 2: Convert to fraction form
    13,099.61/19,658.93 = 9,821.54/x
  3. Step 3: Cross multiply
    13,099.61x = 19,658.93 × 9,821.54
  4. Step 4: Simplify right side
    13,099.61x = 193,080,819.95
  5. Step 5: Solve for x
    x = 193,080,819.95/13,099.61
  6. Step 6: Final answer
    x = 14,739.44

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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.