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Finding the Fourth Proportional to 21,193.39, 31,790.10 and 7,342.39

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Solution

The fourth proportional to 21,193.39, 31,790.10 and 7,342.39 is: 11,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.39 : 31,790.10 = 7,342.39 : x
  2. Step 2: Convert to fraction form
    21,193.39/31,790.10 = 7,342.39/x
  3. Step 3: Cross multiply
    21,193.39x = 31,790.10 × 7,342.39
  4. Step 4: Simplify right side
    21,193.39x = 233,415,312.34
  5. Step 5: Solve for x
    x = 233,415,312.34/21,193.39
  6. Step 6: Final answer
    x = 11,013.59

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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.