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Finding the Fourth Proportional to 2,602.08, 3,582.12 and 2,352.66

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Solution

The fourth proportional to 2,602.08, 3,582.12 and 2,352.66 is: 3,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.08 : 3,582.12 = 2,352.66 : x
  2. Step 2: Convert to fraction form
    2,602.08/3,582.12 = 2,352.66/x
  3. Step 3: Cross multiply
    2,602.08x = 3,582.12 × 2,352.66
  4. Step 4: Simplify right side
    2,602.08x = 8,427,510.44
  5. Step 5: Solve for x
    x = 8,427,510.44/2,602.08
  6. Step 6: Final answer
    x = 3,238.76

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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.