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Finding the Fourth Proportional to 21,475.76, 32,205.93 and 7,431.98

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Solution

The fourth proportional to 21,475.76, 32,205.93 and 7,431.98 is: 11,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,475.76 : 32,205.93 = 7,431.98 : x
  2. Step 2: Convert to fraction form
    21,475.76/32,205.93 = 7,431.98/x
  3. Step 3: Cross multiply
    21,475.76x = 32,205.93 × 7,431.98
  4. Step 4: Simplify right side
    21,475.76x = 239,353,734.55
  5. Step 5: Solve for x
    x = 239,353,734.55/21,475.76
  6. Step 6: Final answer
    x = 11,145.30

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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.