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Finding the Fourth Proportional to 12,199.47, 16,835.60 and 7,417.77

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Solution

The fourth proportional to 12,199.47, 16,835.60 and 7,417.77 is: 10,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.47 : 16,835.60 = 7,417.77 : x
  2. Step 2: Convert to fraction form
    12,199.47/16,835.60 = 7,417.77/x
  3. Step 3: Cross multiply
    12,199.47x = 16,835.60 × 7,417.77
  4. Step 4: Simplify right side
    12,199.47x = 124,882,571.52
  5. Step 5: Solve for x
    x = 124,882,571.52/12,199.47
  6. Step 6: Final answer
    x = 10,236.72

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