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Finding the Fourth Proportional to 12,646.56, 17,454.84 and 7,927.44

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Solution

The fourth proportional to 12,646.56, 17,454.84 and 7,927.44 is: 10,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.56 : 17,454.84 = 7,927.44 : x
  2. Step 2: Convert to fraction form
    12,646.56/17,454.84 = 7,927.44/x
  3. Step 3: Cross multiply
    12,646.56x = 17,454.84 × 7,927.44
  4. Step 4: Simplify right side
    12,646.56x = 138,372,196.81
  5. Step 5: Solve for x
    x = 138,372,196.81/12,646.56
  6. Step 6: Final answer
    x = 10,941.49

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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.