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Finding the Fourth Proportional to 12,643, 17,447.35 and 7,054

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Solution

The fourth proportional to 12,643, 17,447.35 and 7,054 is: 9,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643 : 17,447.35 = 7,054 : x
  2. Step 2: Convert to fraction form
    12,643/17,447.35 = 7,054/x
  3. Step 3: Cross multiply
    12,643x = 17,447.35 × 7,054
  4. Step 4: Simplify right side
    12,643x = 123,073,606.90
  5. Step 5: Solve for x
    x = 123,073,606.90/12,643
  6. Step 6: Final answer
    x = 9,734.53

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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.