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Finding the Fourth Proportional to 12,557, 17,329.20 and 6,968

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Solution

The fourth proportional to 12,557, 17,329.20 and 6,968 is: 9,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557 : 17,329.20 = 6,968 : x
  2. Step 2: Convert to fraction form
    12,557/17,329.20 = 6,968/x
  3. Step 3: Cross multiply
    12,557x = 17,329.20 × 6,968
  4. Step 4: Simplify right side
    12,557x = 120,749,865.60
  5. Step 5: Solve for x
    x = 120,749,865.60/12,557
  6. Step 6: Final answer
    x = 9,616.14

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Why These Related Problems?

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