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Finding the Fourth Proportional to 12,641.22, 17,445.87 and 6,977.09

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Solution

The fourth proportional to 12,641.22, 17,445.87 and 6,977.09 is: 9,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.22 : 17,445.87 = 6,977.09 : x
  2. Step 2: Convert to fraction form
    12,641.22/17,445.87 = 6,977.09/x
  3. Step 3: Cross multiply
    12,641.22x = 17,445.87 × 6,977.09
  4. Step 4: Simplify right side
    12,641.22x = 121,721,405.12
  5. Step 5: Solve for x
    x = 121,721,405.12/12,641.22
  6. Step 6: Final answer
    x = 9,628.93

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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.