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Finding the Fourth Proportional to 8,533.64, 12,801.98 and 2,911

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Solution

The fourth proportional to 8,533.64, 12,801.98 and 2,911 is: 4,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.64 : 12,801.98 = 2,911 : x
  2. Step 2: Convert to fraction form
    8,533.64/12,801.98 = 2,911/x
  3. Step 3: Cross multiply
    8,533.64x = 12,801.98 × 2,911
  4. Step 4: Simplify right side
    8,533.64x = 37,266,563.78
  5. Step 5: Solve for x
    x = 37,266,563.78/8,533.64
  6. Step 6: Final answer
    x = 4,367.02

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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.