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Finding the Fourth Proportional to 2,803.06, 4,204.59 and 1,648

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Solution

The fourth proportional to 2,803.06, 4,204.59 and 1,648 is: 2,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.06 : 4,204.59 = 1,648 : x
  2. Step 2: Convert to fraction form
    2,803.06/4,204.59 = 1,648/x
  3. Step 3: Cross multiply
    2,803.06x = 4,204.59 × 1,648
  4. Step 4: Simplify right side
    2,803.06x = 6,929,164.32
  5. Step 5: Solve for x
    x = 6,929,164.32/2,803.06
  6. Step 6: Final answer
    x = 2,472

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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.