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Finding the Fourth Proportional to 13,768.76, 18,982.08 and 9,461.72

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Solution

The fourth proportional to 13,768.76, 18,982.08 and 9,461.72 is: 13,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.76 : 18,982.08 = 9,461.72 : x
  2. Step 2: Convert to fraction form
    13,768.76/18,982.08 = 9,461.72/x
  3. Step 3: Cross multiply
    13,768.76x = 18,982.08 × 9,461.72
  4. Step 4: Simplify right side
    13,768.76x = 179,603,125.98
  5. Step 5: Solve for x
    x = 179,603,125.98/13,768.76
  6. Step 6: Final answer
    x = 13,044.25

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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.