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Finding the Fourth Proportional to 2,905.04, 4,009.05 and 1,646.03

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Solution

The fourth proportional to 2,905.04, 4,009.05 and 1,646.03 is: 2,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.04 : 4,009.05 = 1,646.03 : x
  2. Step 2: Convert to fraction form
    2,905.04/4,009.05 = 1,646.03/x
  3. Step 3: Cross multiply
    2,905.04x = 4,009.05 × 1,646.03
  4. Step 4: Simplify right side
    2,905.04x = 6,598,996.53
  5. Step 5: Solve for x
    x = 6,598,996.53/2,905.04
  6. Step 6: Final answer
    x = 2,271.57

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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.