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Finding the Fourth Proportional to 7,887.80, 11,831.70 and 6,591.80

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Solution

The fourth proportional to 7,887.80, 11,831.70 and 6,591.80 is: 9,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.80 : 11,831.70 = 6,591.80 : x
  2. Step 2: Convert to fraction form
    7,887.80/11,831.70 = 6,591.80/x
  3. Step 3: Cross multiply
    7,887.80x = 11,831.70 × 6,591.80
  4. Step 4: Simplify right side
    7,887.80x = 77,992,200.06
  5. Step 5: Solve for x
    x = 77,992,200.06/7,887.80
  6. Step 6: Final answer
    x = 9,887.70

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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.