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Finding the Fourth Proportional to 8,533.40, 12,801.90 and 2,690

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Solution

The fourth proportional to 8,533.40, 12,801.90 and 2,690 is: 4,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.40 : 12,801.90 = 2,690 : x
  2. Step 2: Convert to fraction form
    8,533.40/12,801.90 = 2,690/x
  3. Step 3: Cross multiply
    8,533.40x = 12,801.90 × 2,690
  4. Step 4: Simplify right side
    8,533.40x = 34,437,111
  5. Step 5: Solve for x
    x = 34,437,111/8,533.40
  6. Step 6: Final answer
    x = 4,035.57

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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.