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Finding the Fourth Proportional to 6,893.10, 10,339.65 and 6,820.20

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Solution

The fourth proportional to 6,893.10, 10,339.65 and 6,820.20 is: 10,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.10 : 10,339.65 = 6,820.20 : x
  2. Step 2: Convert to fraction form
    6,893.10/10,339.65 = 6,820.20/x
  3. Step 3: Cross multiply
    6,893.10x = 10,339.65 × 6,820.20
  4. Step 4: Simplify right side
    6,893.10x = 70,518,480.93
  5. Step 5: Solve for x
    x = 70,518,480.93/6,893.10
  6. Step 6: Final answer
    x = 10,230.30

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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.