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Finding the Fourth Proportional to 12,897.68, 19,328.27 and 5,494.68

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Solution

The fourth proportional to 12,897.68, 19,328.27 and 5,494.68 is: 8,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.68 : 19,328.27 = 5,494.68 : x
  2. Step 2: Convert to fraction form
    12,897.68/19,328.27 = 5,494.68/x
  3. Step 3: Cross multiply
    12,897.68x = 19,328.27 × 5,494.68
  4. Step 4: Simplify right side
    12,897.68x = 106,202,631.13
  5. Step 5: Solve for x
    x = 106,202,631.13/12,897.68
  6. Step 6: Final answer
    x = 8,234.25

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1.5x scale

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.