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Finding the Fourth Proportional to 2,533.78, 3,798.11 and 1,215.60

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Solution

The fourth proportional to 2,533.78, 3,798.11 and 1,215.60 is: 1,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.78 : 3,798.11 = 1,215.60 : x
  2. Step 2: Convert to fraction form
    2,533.78/3,798.11 = 1,215.60/x
  3. Step 3: Cross multiply
    2,533.78x = 3,798.11 × 1,215.60
  4. Step 4: Simplify right side
    2,533.78x = 4,616,964.47
  5. Step 5: Solve for x
    x = 4,616,964.47/2,533.78
  6. Step 6: Final answer
    x = 1,822.16

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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.