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Finding the Fourth Proportional to 12,269.36, 16,931.20 and 6,964.06

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Solution

The fourth proportional to 12,269.36, 16,931.20 and 6,964.06 is: 9,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.36 : 16,931.20 = 6,964.06 : x
  2. Step 2: Convert to fraction form
    12,269.36/16,931.20 = 6,964.06/x
  3. Step 3: Cross multiply
    12,269.36x = 16,931.20 × 6,964.06
  4. Step 4: Simplify right side
    12,269.36x = 117,909,892.67
  5. Step 5: Solve for x
    x = 117,909,892.67/12,269.36
  6. Step 6: Final answer
    x = 9,610.11

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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.