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Finding the Fourth Proportional to 21,022.64, 29,011.02 and 11,591

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Solution

The fourth proportional to 21,022.64, 29,011.02 and 11,591 is: 15,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.64 : 29,011.02 = 11,591 : x
  2. Step 2: Convert to fraction form
    21,022.64/29,011.02 = 11,591/x
  3. Step 3: Cross multiply
    21,022.64x = 29,011.02 × 11,591
  4. Step 4: Simplify right side
    21,022.64x = 336,266,732.82
  5. Step 5: Solve for x
    x = 336,266,732.82/21,022.64
  6. Step 6: Final answer
    x = 15,995.46

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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.