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Finding the Fourth Proportional to 4,090, 6,123.80 and 2,858.64

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Solution

The fourth proportional to 4,090, 6,123.80 and 2,858.64 is: 4,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 6,123.80 = 2,858.64 : x
  2. Step 2: Convert to fraction form
    4,090/6,123.80 = 2,858.64/x
  3. Step 3: Cross multiply
    4,090x = 6,123.80 × 2,858.64
  4. Step 4: Simplify right side
    4,090x = 17,505,739.63
  5. Step 5: Solve for x
    x = 17,505,739.63/4,090
  6. Step 6: Final answer
    x = 4,280.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.