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Finding the Fourth Proportional to 2,809.95, 3,877.43 and 1,630.79

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Solution

The fourth proportional to 2,809.95, 3,877.43 and 1,630.79 is: 2,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.95 : 3,877.43 = 1,630.79 : x
  2. Step 2: Convert to fraction form
    2,809.95/3,877.43 = 1,630.79/x
  3. Step 3: Cross multiply
    2,809.95x = 3,877.43 × 1,630.79
  4. Step 4: Simplify right side
    2,809.95x = 6,323,274.07
  5. Step 5: Solve for x
    x = 6,323,274.07/2,809.95
  6. Step 6: Final answer
    x = 2,250.32

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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.