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Finding the Fourth Proportional to 2,776.68, 3,830.63 and 1,657.26

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Solution

The fourth proportional to 2,776.68, 3,830.63 and 1,657.26 is: 2,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.68 : 3,830.63 = 1,657.26 : x
  2. Step 2: Convert to fraction form
    2,776.68/3,830.63 = 1,657.26/x
  3. Step 3: Cross multiply
    2,776.68x = 3,830.63 × 1,657.26
  4. Step 4: Simplify right side
    2,776.68x = 6,348,341.59
  5. Step 5: Solve for x
    x = 6,348,341.59/2,776.68
  6. Step 6: Final answer
    x = 2,286.31

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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.