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Finding the Fourth Proportional to 21,048.51, 29,046.88 and 11,617

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Solution

The fourth proportional to 21,048.51, 29,046.88 and 11,617 is: 16,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.51 : 29,046.88 = 11,617 : x
  2. Step 2: Convert to fraction form
    21,048.51/29,046.88 = 11,617/x
  3. Step 3: Cross multiply
    21,048.51x = 29,046.88 × 11,617
  4. Step 4: Simplify right side
    21,048.51x = 337,437,575.92
  5. Step 5: Solve for x
    x = 337,437,575.92/21,048.51
  6. Step 6: Final answer
    x = 16,031.43

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1.5x scale

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.