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Finding the Fourth Proportional to 13,571.12, 18,728.30 and 7,827.24

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Solution

The fourth proportional to 13,571.12, 18,728.30 and 7,827.24 is: 10,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.12 : 18,728.30 = 7,827.24 : x
  2. Step 2: Convert to fraction form
    13,571.12/18,728.30 = 7,827.24/x
  3. Step 3: Cross multiply
    13,571.12x = 18,728.30 × 7,827.24
  4. Step 4: Simplify right side
    13,571.12x = 146,590,898.89
  5. Step 5: Solve for x
    x = 146,590,898.89/13,571.12
  6. Step 6: Final answer
    x = 10,801.68

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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.