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Finding the Fourth Proportional to 13,257, 19,885.50 and 4,023

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Solution

The fourth proportional to 13,257, 19,885.50 and 4,023 is: 6,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257 : 19,885.50 = 4,023 : x
  2. Step 2: Convert to fraction form
    13,257/19,885.50 = 4,023/x
  3. Step 3: Cross multiply
    13,257x = 19,885.50 × 4,023
  4. Step 4: Simplify right side
    13,257x = 79,999,366.50
  5. Step 5: Solve for x
    x = 79,999,366.50/13,257
  6. Step 6: Final answer
    x = 6,034.50

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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.