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Finding the Fourth Proportional to 12,805.92, 17,672.40 and 7,840.80

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Solution

The fourth proportional to 12,805.92, 17,672.40 and 7,840.80 is: 10,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.92 : 17,672.40 = 7,840.80 : x
  2. Step 2: Convert to fraction form
    12,805.92/17,672.40 = 7,840.80/x
  3. Step 3: Cross multiply
    12,805.92x = 17,672.40 × 7,840.80
  4. Step 4: Simplify right side
    12,805.92x = 138,565,753.92
  5. Step 5: Solve for x
    x = 138,565,753.92/12,805.92
  6. Step 6: Final answer
    x = 10,820.45

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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.