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Finding the Fourth Proportional to 7,957.89, 11,935.90 and 2,114.95

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Solution

The fourth proportional to 7,957.89, 11,935.90 and 2,114.95 is: 3,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.89 : 11,935.90 = 2,114.95 : x
  2. Step 2: Convert to fraction form
    7,957.89/11,935.90 = 2,114.95/x
  3. Step 3: Cross multiply
    7,957.89x = 11,935.90 × 2,114.95
  4. Step 4: Simplify right side
    7,957.89x = 25,243,831.71
  5. Step 5: Solve for x
    x = 25,243,831.71/7,957.89
  6. Step 6: Final answer
    x = 3,172.18

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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.