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Finding the Fourth Proportional to 7,927.34, 10,929.74 and 5,940.81

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Solution

The fourth proportional to 7,927.34, 10,929.74 and 5,940.81 is: 8,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.34 : 10,929.74 = 5,940.81 : x
  2. Step 2: Convert to fraction form
    7,927.34/10,929.74 = 5,940.81/x
  3. Step 3: Cross multiply
    7,927.34x = 10,929.74 × 5,940.81
  4. Step 4: Simplify right side
    7,927.34x = 64,931,478.99
  5. Step 5: Solve for x
    x = 64,931,478.99/7,927.34
  6. Step 6: Final answer
    x = 8,190.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.