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Finding the Fourth Proportional to 10,670.60, 14,729.10 and 6,424.04

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Solution

The fourth proportional to 10,670.60, 14,729.10 and 6,424.04 is: 8,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.60 : 14,729.10 = 6,424.04 : x
  2. Step 2: Convert to fraction form
    10,670.60/14,729.10 = 6,424.04/x
  3. Step 3: Cross multiply
    10,670.60x = 14,729.10 × 6,424.04
  4. Step 4: Simplify right side
    10,670.60x = 94,620,327.56
  5. Step 5: Solve for x
    x = 94,620,327.56/10,670.60
  6. Step 6: Final answer
    x = 8,867.39

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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.