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Finding the Fourth Proportional to 2,646.02, 3,648.04 and 2,276.96

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Solution

The fourth proportional to 2,646.02, 3,648.04 and 2,276.96 is: 3,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.02 : 3,648.04 = 2,276.96 : x
  2. Step 2: Convert to fraction form
    2,646.02/3,648.04 = 2,276.96/x
  3. Step 3: Cross multiply
    2,646.02x = 3,648.04 × 2,276.96
  4. Step 4: Simplify right side
    2,646.02x = 8,306,441.16
  5. Step 5: Solve for x
    x = 8,306,441.16/2,646.02
  6. Step 6: Final answer
    x = 3,139.22

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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.