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Finding the Fourth Proportional to 34,205.96, 47,205 and 21,459.66

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Solution

The fourth proportional to 34,205.96, 47,205 and 21,459.66 is: 29,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.96 : 47,205 = 21,459.66 : x
  2. Step 2: Convert to fraction form
    34,205.96/47,205 = 21,459.66/x
  3. Step 3: Cross multiply
    34,205.96x = 47,205 × 21,459.66
  4. Step 4: Simplify right side
    34,205.96x = 1,013,003,250.30
  5. Step 5: Solve for x
    x = 1,013,003,250.30/34,205.96
  6. Step 6: Final answer
    x = 29,614.82

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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.