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Finding the Fourth Proportional to 21,406.77, 32,113.23 and 6,616.98

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Solution

The fourth proportional to 21,406.77, 32,113.23 and 6,616.98 is: 9,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.77 : 32,113.23 = 6,616.98 : x
  2. Step 2: Convert to fraction form
    21,406.77/32,113.23 = 6,616.98/x
  3. Step 3: Cross multiply
    21,406.77x = 32,113.23 × 6,616.98
  4. Step 4: Simplify right side
    21,406.77x = 212,492,600.65
  5. Step 5: Solve for x
    x = 212,492,600.65/21,406.77
  6. Step 6: Final answer
    x = 9,926.42

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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.