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Finding the Fourth Proportional to 12,580.34, 18,885.08 and 6,748.34

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Solution

The fourth proportional to 12,580.34, 18,885.08 and 6,748.34 is: 10,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.34 : 18,885.08 = 6,748.34 : x
  2. Step 2: Convert to fraction form
    12,580.34/18,885.08 = 6,748.34/x
  3. Step 3: Cross multiply
    12,580.34x = 18,885.08 × 6,748.34
  4. Step 4: Simplify right side
    12,580.34x = 127,442,863.21
  5. Step 5: Solve for x
    x = 127,442,863.21/12,580.34
  6. Step 6: Final answer
    x = 10,130.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.