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Finding the Fourth Proportional to 21,520, 29,699.22 and 13,138.12

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Solution

The fourth proportional to 21,520, 29,699.22 and 13,138.12 is: 18,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520 : 29,699.22 = 13,138.12 : x
  2. Step 2: Convert to fraction form
    21,520/29,699.22 = 13,138.12/x
  3. Step 3: Cross multiply
    21,520x = 29,699.22 × 13,138.12
  4. Step 4: Simplify right side
    21,520x = 390,191,916.27
  5. Step 5: Solve for x
    x = 390,191,916.27/21,520
  6. Step 6: Final answer
    x = 18,131.59

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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.