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Finding the Fourth Proportional to 2,900.52, 4,006.80 and 2,638.08

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Solution

The fourth proportional to 2,900.52, 4,006.80 and 2,638.08 is: 3,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.52 : 4,006.80 = 2,638.08 : x
  2. Step 2: Convert to fraction form
    2,900.52/4,006.80 = 2,638.08/x
  3. Step 3: Cross multiply
    2,900.52x = 4,006.80 × 2,638.08
  4. Step 4: Simplify right side
    2,900.52x = 10,570,258.94
  5. Step 5: Solve for x
    x = 10,570,258.94/2,900.52
  6. Step 6: Final answer
    x = 3,644.26

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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.