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Finding the Fourth Proportional to 8,440.61, 11,563.56 and 8,125.20

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Solution

The fourth proportional to 8,440.61, 11,563.56 and 8,125.20 is: 11,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.61 : 11,563.56 = 8,125.20 : x
  2. Step 2: Convert to fraction form
    8,440.61/11,563.56 = 8,125.20/x
  3. Step 3: Cross multiply
    8,440.61x = 11,563.56 × 8,125.20
  4. Step 4: Simplify right side
    8,440.61x = 93,956,237.71
  5. Step 5: Solve for x
    x = 93,956,237.71/8,440.61
  6. Step 6: Final answer
    x = 11,131.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.