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Finding the Fourth Proportional to 8,571.32, 12,834.28 and 7,009.64

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Solution

The fourth proportional to 8,571.32, 12,834.28 and 7,009.64 is: 10,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.32 : 12,834.28 = 7,009.64 : x
  2. Step 2: Convert to fraction form
    8,571.32/12,834.28 = 7,009.64/x
  3. Step 3: Cross multiply
    8,571.32x = 12,834.28 × 7,009.64
  4. Step 4: Simplify right side
    8,571.32x = 89,963,682.46
  5. Step 5: Solve for x
    x = 89,963,682.46/8,571.32
  6. Step 6: Final answer
    x = 10,495.90

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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.