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Finding the Fourth Proportional to 6,896.40, 10,355.40 and 4,714.80

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Solution

The fourth proportional to 6,896.40, 10,355.40 and 4,714.80 is: 7,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.40 : 10,355.40 = 4,714.80 : x
  2. Step 2: Convert to fraction form
    6,896.40/10,355.40 = 4,714.80/x
  3. Step 3: Cross multiply
    6,896.40x = 10,355.40 × 4,714.80
  4. Step 4: Simplify right side
    6,896.40x = 48,823,639.92
  5. Step 5: Solve for x
    x = 48,823,639.92/6,896.40
  6. Step 6: Final answer
    x = 7,079.58

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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.