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Finding the Fourth Proportional to 12,087.68, 16,681.20 and 6,783.68

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Solution

The fourth proportional to 12,087.68, 16,681.20 and 6,783.68 is: 9,361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.68 : 16,681.20 = 6,783.68 : x
  2. Step 2: Convert to fraction form
    12,087.68/16,681.20 = 6,783.68/x
  3. Step 3: Cross multiply
    12,087.68x = 16,681.20 × 6,783.68
  4. Step 4: Simplify right side
    12,087.68x = 113,159,922.82
  5. Step 5: Solve for x
    x = 113,159,922.82/12,087.68
  6. Step 6: Final answer
    x = 9,361.59

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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.