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Finding the Fourth Proportional to 2,905.69, 4,009.21 and 1,646.64

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Solution

The fourth proportional to 2,905.69, 4,009.21 and 1,646.64 is: 2,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.69 : 4,009.21 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    2,905.69/4,009.21 = 1,646.64/x
  3. Step 3: Cross multiply
    2,905.69x = 4,009.21 × 1,646.64
  4. Step 4: Simplify right side
    2,905.69x = 6,601,697.28
  5. Step 5: Solve for x
    x = 6,601,697.28/2,905.69
  6. Step 6: Final answer
    x = 2,271.99

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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.