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Finding the Fourth Proportional to 2,642.60, 3,646.96 and 1,698.96

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Solution

The fourth proportional to 2,642.60, 3,646.96 and 1,698.96 is: 2,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.60 : 3,646.96 = 1,698.96 : x
  2. Step 2: Convert to fraction form
    2,642.60/3,646.96 = 1,698.96/x
  3. Step 3: Cross multiply
    2,642.60x = 3,646.96 × 1,698.96
  4. Step 4: Simplify right side
    2,642.60x = 6,196,039.16
  5. Step 5: Solve for x
    x = 6,196,039.16/2,642.60
  6. Step 6: Final answer
    x = 2,344.68

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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.