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Finding the Fourth Proportional to 2,669.70, 3,686.13 and 1,884.81

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Solution

The fourth proportional to 2,669.70, 3,686.13 and 1,884.81 is: 2,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.70 : 3,686.13 = 1,884.81 : x
  2. Step 2: Convert to fraction form
    2,669.70/3,686.13 = 1,884.81/x
  3. Step 3: Cross multiply
    2,669.70x = 3,686.13 × 1,884.81
  4. Step 4: Simplify right side
    2,669.70x = 6,947,654.69
  5. Step 5: Solve for x
    x = 6,947,654.69/2,669.70
  6. Step 6: Final answer
    x = 2,602.41

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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.