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Finding the Fourth Proportional to 15,686.93, 21,648 and 8,613.81

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Solution

The fourth proportional to 15,686.93, 21,648 and 8,613.81 is: 11,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.93 : 21,648 = 8,613.81 : x
  2. Step 2: Convert to fraction form
    15,686.93/21,648 = 8,613.81/x
  3. Step 3: Cross multiply
    15,686.93x = 21,648 × 8,613.81
  4. Step 4: Simplify right side
    15,686.93x = 186,471,758.88
  5. Step 5: Solve for x
    x = 186,471,758.88/15,686.93
  6. Step 6: Final answer
    x = 11,887.08

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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.