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Finding the Fourth Proportional to 2,646.77, 3,652.98 and 1,468.22

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Solution

The fourth proportional to 2,646.77, 3,652.98 and 1,468.22 is: 2,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.77 : 3,652.98 = 1,468.22 : x
  2. Step 2: Convert to fraction form
    2,646.77/3,652.98 = 1,468.22/x
  3. Step 3: Cross multiply
    2,646.77x = 3,652.98 × 1,468.22
  4. Step 4: Simplify right side
    2,646.77x = 5,363,378.30
  5. Step 5: Solve for x
    x = 5,363,378.30/2,646.77
  6. Step 6: Final answer
    x = 2,026.39

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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.