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Finding the Fourth Proportional to 12,353.46, 17,047.65 and 6,688.06

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Solution

The fourth proportional to 12,353.46, 17,047.65 and 6,688.06 is: 9,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.46 : 17,047.65 = 6,688.06 : x
  2. Step 2: Convert to fraction form
    12,353.46/17,047.65 = 6,688.06/x
  3. Step 3: Cross multiply
    12,353.46x = 17,047.65 × 6,688.06
  4. Step 4: Simplify right side
    12,353.46x = 114,015,765.40
  5. Step 5: Solve for x
    x = 114,015,765.40/12,353.46
  6. Step 6: Final answer
    x = 9,229.46

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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.