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Finding the Fourth Proportional to 1,945.68, 2,688.84 and 1,729.68

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Solution

The fourth proportional to 1,945.68, 2,688.84 and 1,729.68 is: 2,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.68 : 2,688.84 = 1,729.68 : x
  2. Step 2: Convert to fraction form
    1,945.68/2,688.84 = 1,729.68/x
  3. Step 3: Cross multiply
    1,945.68x = 2,688.84 × 1,729.68
  4. Step 4: Simplify right side
    1,945.68x = 4,650,832.77
  5. Step 5: Solve for x
    x = 4,650,832.77/1,945.68
  6. Step 6: Final answer
    x = 2,390.34

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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.