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Finding the Fourth Proportional to 2,628, 3,628.16 and 2,008.16

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Solution

The fourth proportional to 2,628, 3,628.16 and 2,008.16 is: 2,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628 : 3,628.16 = 2,008.16 : x
  2. Step 2: Convert to fraction form
    2,628/3,628.16 = 2,008.16/x
  3. Step 3: Cross multiply
    2,628x = 3,628.16 × 2,008.16
  4. Step 4: Simplify right side
    2,628x = 7,285,925.79
  5. Step 5: Solve for x
    x = 7,285,925.79/2,628
  6. Step 6: Final answer
    x = 2,772.42

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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.