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Finding the Fourth Proportional to 21,730.98, 32,595.57 and 6,940.74

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Solution

The fourth proportional to 21,730.98, 32,595.57 and 6,940.74 is: 10,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.98 : 32,595.57 = 6,940.74 : x
  2. Step 2: Convert to fraction form
    21,730.98/32,595.57 = 6,940.74/x
  3. Step 3: Cross multiply
    21,730.98x = 32,595.57 × 6,940.74
  4. Step 4: Simplify right side
    21,730.98x = 226,237,376.52
  5. Step 5: Solve for x
    x = 226,237,376.52/21,730.98
  6. Step 6: Final answer
    x = 10,410.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.