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Finding the Fourth Proportional to 12,643.15, 17,447.73 and 6,978.16

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Solution

The fourth proportional to 12,643.15, 17,447.73 and 6,978.16 is: 9,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.15 : 17,447.73 = 6,978.16 : x
  2. Step 2: Convert to fraction form
    12,643.15/17,447.73 = 6,978.16/x
  3. Step 3: Cross multiply
    12,643.15x = 17,447.73 × 6,978.16
  4. Step 4: Simplify right side
    12,643.15x = 121,752,964.34
  5. Step 5: Solve for x
    x = 121,752,964.34/12,643.15
  6. Step 6: Final answer
    x = 9,629.96

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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.