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Finding the Fourth Proportional to 12,820.68, 17,680.68 and 9,836.64

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Solution

The fourth proportional to 12,820.68, 17,680.68 and 9,836.64 is: 13,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.68 : 17,680.68 = 9,836.64 : x
  2. Step 2: Convert to fraction form
    12,820.68/17,680.68 = 9,836.64/x
  3. Step 3: Cross multiply
    12,820.68x = 17,680.68 × 9,836.64
  4. Step 4: Simplify right side
    12,820.68x = 173,918,484.12
  5. Step 5: Solve for x
    x = 173,918,484.12/12,820.68
  6. Step 6: Final answer
    x = 13,565.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.