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Finding the Fourth Proportional to 2,973.16, 4,103.02 and 1,646.90

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Solution

The fourth proportional to 2,973.16, 4,103.02 and 1,646.90 is: 2,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.16 : 4,103.02 = 1,646.90 : x
  2. Step 2: Convert to fraction form
    2,973.16/4,103.02 = 1,646.90/x
  3. Step 3: Cross multiply
    2,973.16x = 4,103.02 × 1,646.90
  4. Step 4: Simplify right side
    2,973.16x = 6,757,263.64
  5. Step 5: Solve for x
    x = 6,757,263.64/2,973.16
  6. Step 6: Final answer
    x = 2,272.75

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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.