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Finding the Fourth Proportional to 12,905.29, 17,810.65 and 7,241.57

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Solution

The fourth proportional to 12,905.29, 17,810.65 and 7,241.57 is: 9,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.29 : 17,810.65 = 7,241.57 : x
  2. Step 2: Convert to fraction form
    12,905.29/17,810.65 = 7,241.57/x
  3. Step 3: Cross multiply
    12,905.29x = 17,810.65 × 7,241.57
  4. Step 4: Simplify right side
    12,905.29x = 128,976,961.56
  5. Step 5: Solve for x
    x = 128,976,961.56/12,905.29
  6. Step 6: Final answer
    x = 9,994.12

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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.