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Finding the Fourth Proportional to 5,000.08, 6,897 and 3,138.16

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Solution

The fourth proportional to 5,000.08, 6,897 and 3,138.16 is: 4,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.08 : 6,897 = 3,138.16 : x
  2. Step 2: Convert to fraction form
    5,000.08/6,897 = 3,138.16/x
  3. Step 3: Cross multiply
    5,000.08x = 6,897 × 3,138.16
  4. Step 4: Simplify right side
    5,000.08x = 21,643,889.52
  5. Step 5: Solve for x
    x = 21,643,889.52/5,000.08
  6. Step 6: Final answer
    x = 4,328.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.