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Finding the Fourth Proportional to 12,569, 17,345.22 and 6,980.52

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Solution

The fourth proportional to 12,569, 17,345.22 and 6,980.52 is: 9,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569 : 17,345.22 = 6,980.52 : x
  2. Step 2: Convert to fraction form
    12,569/17,345.22 = 6,980.52/x
  3. Step 3: Cross multiply
    12,569x = 17,345.22 × 6,980.52
  4. Step 4: Simplify right side
    12,569x = 121,078,655.11
  5. Step 5: Solve for x
    x = 121,078,655.11/12,569
  6. Step 6: Final answer
    x = 9,633.12

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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.