Home / 1,533.78-2,300.13-949.50

Finding the Fourth Proportional to 1,533.78, 2,300.13 and 949.50

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Solution

The fourth proportional to 1,533.78, 2,300.13 and 949.50 is: 1,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.78 : 2,300.13 = 949.50 : x
  2. Step 2: Convert to fraction form
    1,533.78/2,300.13 = 949.50/x
  3. Step 3: Cross multiply
    1,533.78x = 2,300.13 × 949.50
  4. Step 4: Simplify right side
    1,533.78x = 2,183,973.44
  5. Step 5: Solve for x
    x = 2,183,973.44/1,533.78
  6. Step 6: Final answer
    x = 1,423.92

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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.