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Finding the Fourth Proportional to 2,905.14, 4,009.14 and 1,646.22

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Solution

The fourth proportional to 2,905.14, 4,009.14 and 1,646.22 is: 2,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.14 : 4,009.14 = 1,646.22 : x
  2. Step 2: Convert to fraction form
    2,905.14/4,009.14 = 1,646.22/x
  3. Step 3: Cross multiply
    2,905.14x = 4,009.14 × 1,646.22
  4. Step 4: Simplify right side
    2,905.14x = 6,599,926.45
  5. Step 5: Solve for x
    x = 6,599,926.45/2,905.14
  6. Step 6: Final answer
    x = 2,271.81

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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.