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Finding the Fourth Proportional to 12,287.00, 16,950.72 and 7,808.35

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Solution

The fourth proportional to 12,287.00, 16,950.72 and 7,808.35 is: 10,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.00 : 16,950.72 = 7,808.35 : x
  2. Step 2: Convert to fraction form
    12,287.00/16,950.72 = 7,808.35/x
  3. Step 3: Cross multiply
    12,287.00x = 16,950.72 × 7,808.35
  4. Step 4: Simplify right side
    12,287.00x = 132,357,030.72
  5. Step 5: Solve for x
    x = 132,357,030.72/12,287.00
  6. Step 6: Final answer
    x = 10,772.12

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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.