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Finding the Fourth Proportional to 13,644.74, 18,829.55 and 7,676.40

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Solution

The fourth proportional to 13,644.74, 18,829.55 and 7,676.40 is: 10,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.74 : 18,829.55 = 7,676.40 : x
  2. Step 2: Convert to fraction form
    13,644.74/18,829.55 = 7,676.40/x
  3. Step 3: Cross multiply
    13,644.74x = 18,829.55 × 7,676.40
  4. Step 4: Simplify right side
    13,644.74x = 144,543,176.81
  5. Step 5: Solve for x
    x = 144,543,176.81/13,644.74
  6. Step 6: Final answer
    x = 10,593.32

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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.