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Finding the Fourth Proportional to 2,859.34, 3,945 and 1,864.25

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Solution

The fourth proportional to 2,859.34, 3,945 and 1,864.25 is: 2,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.34 : 3,945 = 1,864.25 : x
  2. Step 2: Convert to fraction form
    2,859.34/3,945 = 1,864.25/x
  3. Step 3: Cross multiply
    2,859.34x = 3,945 × 1,864.25
  4. Step 4: Simplify right side
    2,859.34x = 7,354,466.25
  5. Step 5: Solve for x
    x = 7,354,466.25/2,859.34
  6. Step 6: Final answer
    x = 2,572.09

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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.