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Finding the Fourth Proportional to 13,426.42, 18,537.42 and 8,397.76

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Solution

The fourth proportional to 13,426.42, 18,537.42 and 8,397.76 is: 11,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.42 : 18,537.42 = 8,397.76 : x
  2. Step 2: Convert to fraction form
    13,426.42/18,537.42 = 8,397.76/x
  3. Step 3: Cross multiply
    13,426.42x = 18,537.42 × 8,397.76
  4. Step 4: Simplify right side
    13,426.42x = 155,672,804.18
  5. Step 5: Solve for x
    x = 155,672,804.18/13,426.42
  6. Step 6: Final answer
    x = 11,594.51

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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.