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Finding the Fourth Proportional to 2,215.68, 3,325.44 and 848.64

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Solution

The fourth proportional to 2,215.68, 3,325.44 and 848.64 is: 1,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.68 : 3,325.44 = 848.64 : x
  2. Step 2: Convert to fraction form
    2,215.68/3,325.44 = 848.64/x
  3. Step 3: Cross multiply
    2,215.68x = 3,325.44 × 848.64
  4. Step 4: Simplify right side
    2,215.68x = 2,822,101.40
  5. Step 5: Solve for x
    x = 2,822,101.40/2,215.68
  6. Step 6: Final answer
    x = 1,273.70

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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.