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Finding the Fourth Proportional to 10,777.95, 16,172.42 and 6,341.99

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Solution

The fourth proportional to 10,777.95, 16,172.42 and 6,341.99 is: 9,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.95 : 16,172.42 = 6,341.99 : x
  2. Step 2: Convert to fraction form
    10,777.95/16,172.42 = 6,341.99/x
  3. Step 3: Cross multiply
    10,777.95x = 16,172.42 × 6,341.99
  4. Step 4: Simplify right side
    10,777.95x = 102,565,213.34
  5. Step 5: Solve for x
    x = 102,565,213.34/10,777.95
  6. Step 6: Final answer
    x = 9,516.21

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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.