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Finding the Fourth Proportional to 6,478.32, 9,697.38 and 5,235.36

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Solution

The fourth proportional to 6,478.32, 9,697.38 and 5,235.36 is: 7,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.32 : 9,697.38 = 5,235.36 : x
  2. Step 2: Convert to fraction form
    6,478.32/9,697.38 = 5,235.36/x
  3. Step 3: Cross multiply
    6,478.32x = 9,697.38 × 5,235.36
  4. Step 4: Simplify right side
    6,478.32x = 50,769,275.36
  5. Step 5: Solve for x
    x = 50,769,275.36/6,478.32
  6. Step 6: Final answer
    x = 7,836.80

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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.