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Finding the Fourth Proportional to 11,314, 15,613.32 and 6,898

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Solution

The fourth proportional to 11,314, 15,613.32 and 6,898 is: 9,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314 : 15,613.32 = 6,898 : x
  2. Step 2: Convert to fraction form
    11,314/15,613.32 = 6,898/x
  3. Step 3: Cross multiply
    11,314x = 15,613.32 × 6,898
  4. Step 4: Simplify right side
    11,314x = 107,700,681.36
  5. Step 5: Solve for x
    x = 107,700,681.36/11,314
  6. Step 6: Final answer
    x = 9,519.24

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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.