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Finding the Fourth Proportional to 13,277, 19,915.50 and 4,043

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Solution

The fourth proportional to 13,277, 19,915.50 and 4,043 is: 6,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277 : 19,915.50 = 4,043 : x
  2. Step 2: Convert to fraction form
    13,277/19,915.50 = 4,043/x
  3. Step 3: Cross multiply
    13,277x = 19,915.50 × 4,043
  4. Step 4: Simplify right side
    13,277x = 80,518,366.50
  5. Step 5: Solve for x
    x = 80,518,366.50/13,277
  6. Step 6: Final answer
    x = 6,064.50

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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.