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Finding the Fourth Proportional to 2,634.90, 3,636.08 and 1,456.08

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Solution

The fourth proportional to 2,634.90, 3,636.08 and 1,456.08 is: 2,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.90 : 3,636.08 = 1,456.08 : x
  2. Step 2: Convert to fraction form
    2,634.90/3,636.08 = 1,456.08/x
  3. Step 3: Cross multiply
    2,634.90x = 3,636.08 × 1,456.08
  4. Step 4: Simplify right side
    2,634.90x = 5,294,423.37
  5. Step 5: Solve for x
    x = 5,294,423.37/2,634.90
  6. Step 6: Final answer
    x = 2,009.35

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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.