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Finding the Fourth Proportional to 2,145.79, 3,220.49 and 848.17

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Solution

The fourth proportional to 2,145.79, 3,220.49 and 848.17 is: 1,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.79 : 3,220.49 = 848.17 : x
  2. Step 2: Convert to fraction form
    2,145.79/3,220.49 = 848.17/x
  3. Step 3: Cross multiply
    2,145.79x = 3,220.49 × 848.17
  4. Step 4: Simplify right side
    2,145.79x = 2,731,523.00
  5. Step 5: Solve for x
    x = 2,731,523.00/2,145.79
  6. Step 6: Final answer
    x = 1,272.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.