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Finding the Fourth Proportional to 6,478.54, 9,714.45 and 2,095.42

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Solution

The fourth proportional to 6,478.54, 9,714.45 and 2,095.42 is: 3,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.54 : 9,714.45 = 2,095.42 : x
  2. Step 2: Convert to fraction form
    6,478.54/9,714.45 = 2,095.42/x
  3. Step 3: Cross multiply
    6,478.54x = 9,714.45 × 2,095.42
  4. Step 4: Simplify right side
    6,478.54x = 20,355,852.82
  5. Step 5: Solve for x
    x = 20,355,852.82/6,478.54
  6. Step 6: Final answer
    x = 3,142.04

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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.