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Finding the Fourth Proportional to 12,090.78, 16,685.28 and 6,785.64

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Solution

The fourth proportional to 12,090.78, 16,685.28 and 6,785.64 is: 9,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.78 : 16,685.28 = 6,785.64 : x
  2. Step 2: Convert to fraction form
    12,090.78/16,685.28 = 6,785.64/x
  3. Step 3: Cross multiply
    12,090.78x = 16,685.28 × 6,785.64
  4. Step 4: Simplify right side
    12,090.78x = 113,220,303.38
  5. Step 5: Solve for x
    x = 113,220,303.38/12,090.78
  6. Step 6: Final answer
    x = 9,364.19

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Double scale
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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.