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Finding the Fourth Proportional to 21,459.83, 29,614.03 and 11,899.76

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Solution

The fourth proportional to 21,459.83, 29,614.03 and 11,899.76 is: 16,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.83 : 29,614.03 = 11,899.76 : x
  2. Step 2: Convert to fraction form
    21,459.83/29,614.03 = 11,899.76/x
  3. Step 3: Cross multiply
    21,459.83x = 29,614.03 × 11,899.76
  4. Step 4: Simplify right side
    21,459.83x = 352,399,849.63
  5. Step 5: Solve for x
    x = 352,399,849.63/21,459.83
  6. Step 6: Final answer
    x = 16,421.37

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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.