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Finding the Fourth Proportional to 12,656.05, 17,461.52 and 7,349.84

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Solution

The fourth proportional to 12,656.05, 17,461.52 and 7,349.84 is: 10,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.05 : 17,461.52 = 7,349.84 : x
  2. Step 2: Convert to fraction form
    12,656.05/17,461.52 = 7,349.84/x
  3. Step 3: Cross multiply
    12,656.05x = 17,461.52 × 7,349.84
  4. Step 4: Simplify right side
    12,656.05x = 128,339,388.49
  5. Step 5: Solve for x
    x = 128,339,388.49/12,656.05
  6. Step 6: Final answer
    x = 10,140.56

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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.