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Finding the Fourth Proportional to 1,945, 2,686.26 and 1,284.76

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Solution

The fourth proportional to 1,945, 2,686.26 and 1,284.76 is: 1,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945 : 2,686.26 = 1,284.76 : x
  2. Step 2: Convert to fraction form
    1,945/2,686.26 = 1,284.76/x
  3. Step 3: Cross multiply
    1,945x = 2,686.26 × 1,284.76
  4. Step 4: Simplify right side
    1,945x = 3,451,199.40
  5. Step 5: Solve for x
    x = 3,451,199.40/1,945
  6. Step 6: Final answer
    x = 1,774.40

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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.