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Finding the Fourth Proportional to 13,676.72, 18,864.50 and 8,374.16

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Solution

The fourth proportional to 13,676.72, 18,864.50 and 8,374.16 is: 11,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.72 : 18,864.50 = 8,374.16 : x
  2. Step 2: Convert to fraction form
    13,676.72/18,864.50 = 8,374.16/x
  3. Step 3: Cross multiply
    13,676.72x = 18,864.50 × 8,374.16
  4. Step 4: Simplify right side
    13,676.72x = 157,974,341.32
  5. Step 5: Solve for x
    x = 157,974,341.32/13,676.72
  6. Step 6: Final answer
    x = 11,550.60

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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.