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Finding the Fourth Proportional to 7,831.98, 10,801.86 and 6,885.77

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Solution

The fourth proportional to 7,831.98, 10,801.86 and 6,885.77 is: 9,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.98 : 10,801.86 = 6,885.77 : x
  2. Step 2: Convert to fraction form
    7,831.98/10,801.86 = 6,885.77/x
  3. Step 3: Cross multiply
    7,831.98x = 10,801.86 × 6,885.77
  4. Step 4: Simplify right side
    7,831.98x = 74,379,069.52
  5. Step 5: Solve for x
    x = 74,379,069.52/7,831.98
  6. Step 6: Final answer
    x = 9,496.84

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1.5x scale

Why These Related Problems?

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