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Finding the Fourth Proportional to 6,819.69, 9,412.07 and 5,056.32

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Solution

The fourth proportional to 6,819.69, 9,412.07 and 5,056.32 is: 6,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.69 : 9,412.07 = 5,056.32 : x
  2. Step 2: Convert to fraction form
    6,819.69/9,412.07 = 5,056.32/x
  3. Step 3: Cross multiply
    6,819.69x = 9,412.07 × 5,056.32
  4. Step 4: Simplify right side
    6,819.69x = 47,590,437.78
  5. Step 5: Solve for x
    x = 47,590,437.78/6,819.69
  6. Step 6: Final answer
    x = 6,978.39

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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.