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Finding the Fourth Proportional to 11,172, 15,417.91 and 6,136.17

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Solution

The fourth proportional to 11,172, 15,417.91 and 6,136.17 is: 8,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172 : 15,417.91 = 6,136.17 : x
  2. Step 2: Convert to fraction form
    11,172/15,417.91 = 6,136.17/x
  3. Step 3: Cross multiply
    11,172x = 15,417.91 × 6,136.17
  4. Step 4: Simplify right side
    11,172x = 94,606,916.80
  5. Step 5: Solve for x
    x = 94,606,916.80/11,172
  6. Step 6: Final answer
    x = 8,468.22

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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.