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Finding the Fourth Proportional to 1,803.52, 2,721.28 and 1,736

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Solution

The fourth proportional to 1,803.52, 2,721.28 and 1,736 is: 2,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.52 : 2,721.28 = 1,736 : x
  2. Step 2: Convert to fraction form
    1,803.52/2,721.28 = 1,736/x
  3. Step 3: Cross multiply
    1,803.52x = 2,721.28 × 1,736
  4. Step 4: Simplify right side
    1,803.52x = 4,724,142.08
  5. Step 5: Solve for x
    x = 4,724,142.08/1,803.52
  6. Step 6: Final answer
    x = 2,619.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.