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Finding the Fourth Proportional to 1,646.12, 2,467.60 and 952.16

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Solution

The fourth proportional to 1,646.12, 2,467.60 and 952.16 is: 1,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.12 : 2,467.60 = 952.16 : x
  2. Step 2: Convert to fraction form
    1,646.12/2,467.60 = 952.16/x
  3. Step 3: Cross multiply
    1,646.12x = 2,467.60 × 952.16
  4. Step 4: Simplify right side
    1,646.12x = 2,349,535.30
  5. Step 5: Solve for x
    x = 2,349,535.30/1,646.12
  6. Step 6: Final answer
    x = 1,427.31

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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.