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Finding the Fourth Proportional to 9,620.31, 14,418.62 and 6,831.89

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Solution

The fourth proportional to 9,620.31, 14,418.62 and 6,831.89 is: 10,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.31 : 14,418.62 = 6,831.89 : x
  2. Step 2: Convert to fraction form
    9,620.31/14,418.62 = 6,831.89/x
  3. Step 3: Cross multiply
    9,620.31x = 14,418.62 × 6,831.89
  4. Step 4: Simplify right side
    9,620.31x = 98,506,425.79
  5. Step 5: Solve for x
    x = 98,506,425.79/9,620.31
  6. Step 6: Final answer
    x = 10,239.42

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1.5x scale

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.