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Finding the Fourth Proportional to 6,409.40, 8,831.85 and 4,728.15

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Solution

The fourth proportional to 6,409.40, 8,831.85 and 4,728.15 is: 6,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.40 : 8,831.85 = 4,728.15 : x
  2. Step 2: Convert to fraction form
    6,409.40/8,831.85 = 4,728.15/x
  3. Step 3: Cross multiply
    6,409.40x = 8,831.85 × 4,728.15
  4. Step 4: Simplify right side
    6,409.40x = 41,758,311.58
  5. Step 5: Solve for x
    x = 41,758,311.58/6,409.40
  6. Step 6: Final answer
    x = 6,515.17

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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.