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Finding the Fourth Proportional to 8,785.84, 13,157.43 and 4,831.06

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Solution

The fourth proportional to 8,785.84, 13,157.43 and 4,831.06 is: 7,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.84 : 13,157.43 = 4,831.06 : x
  2. Step 2: Convert to fraction form
    8,785.84/13,157.43 = 4,831.06/x
  3. Step 3: Cross multiply
    8,785.84x = 13,157.43 × 4,831.06
  4. Step 4: Simplify right side
    8,785.84x = 63,564,333.78
  5. Step 5: Solve for x
    x = 63,564,333.78/8,785.84
  6. Step 6: Final answer
    x = 7,234.86

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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.