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Finding the Fourth Proportional to 6,852.87, 10,285.07 and 6,420.87

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Solution

The fourth proportional to 6,852.87, 10,285.07 and 6,420.87 is: 9,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.87 : 10,285.07 = 6,420.87 : x
  2. Step 2: Convert to fraction form
    6,852.87/10,285.07 = 6,420.87/x
  3. Step 3: Cross multiply
    6,852.87x = 10,285.07 × 6,420.87
  4. Step 4: Simplify right side
    6,852.87x = 66,039,065.31
  5. Step 5: Solve for x
    x = 66,039,065.31/6,852.87
  6. Step 6: Final answer
    x = 9,636.70

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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.