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Finding the Fourth Proportional to 13,491.84, 18,608.22 and 8,777.64

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Solution

The fourth proportional to 13,491.84, 18,608.22 and 8,777.64 is: 12,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.84 : 18,608.22 = 8,777.64 : x
  2. Step 2: Convert to fraction form
    13,491.84/18,608.22 = 8,777.64/x
  3. Step 3: Cross multiply
    13,491.84x = 18,608.22 × 8,777.64
  4. Step 4: Simplify right side
    13,491.84x = 163,336,256.20
  5. Step 5: Solve for x
    x = 163,336,256.20/13,491.84
  6. Step 6: Final answer
    x = 12,106.30

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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.