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Finding the Fourth Proportional to 12,505, 17,256.90 and 6,916.84

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Solution

The fourth proportional to 12,505, 17,256.90 and 6,916.84 is: 9,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505 : 17,256.90 = 6,916.84 : x
  2. Step 2: Convert to fraction form
    12,505/17,256.90 = 6,916.84/x
  3. Step 3: Cross multiply
    12,505x = 17,256.90 × 6,916.84
  4. Step 4: Simplify right side
    12,505x = 119,363,216.20
  5. Step 5: Solve for x
    x = 119,363,216.20/12,505
  6. Step 6: Final answer
    x = 9,545.24

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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.