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Finding the Fourth Proportional to 11,613.54, 17,420.31 and 4,686.42

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Solution

The fourth proportional to 11,613.54, 17,420.31 and 4,686.42 is: 7,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.54 : 17,420.31 = 4,686.42 : x
  2. Step 2: Convert to fraction form
    11,613.54/17,420.31 = 4,686.42/x
  3. Step 3: Cross multiply
    11,613.54x = 17,420.31 × 4,686.42
  4. Step 4: Simplify right side
    11,613.54x = 81,638,889.19
  5. Step 5: Solve for x
    x = 81,638,889.19/11,613.54
  6. Step 6: Final answer
    x = 7,029.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.