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Finding the Fourth Proportional to 7,090.73, 9,784.78 and 4,106.35

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Solution

The fourth proportional to 7,090.73, 9,784.78 and 4,106.35 is: 5,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.73 : 9,784.78 = 4,106.35 : x
  2. Step 2: Convert to fraction form
    7,090.73/9,784.78 = 4,106.35/x
  3. Step 3: Cross multiply
    7,090.73x = 9,784.78 × 4,106.35
  4. Step 4: Simplify right side
    7,090.73x = 40,179,682.43
  5. Step 5: Solve for x
    x = 40,179,682.43/7,090.73
  6. Step 6: Final answer
    x = 5,666.51

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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.