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Finding the Fourth Proportional to 6,762.96, 9,333.36 and 3,970.08

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Solution

The fourth proportional to 6,762.96, 9,333.36 and 3,970.08 is: 5,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.96 : 9,333.36 = 3,970.08 : x
  2. Step 2: Convert to fraction form
    6,762.96/9,333.36 = 3,970.08/x
  3. Step 3: Cross multiply
    6,762.96x = 9,333.36 × 3,970.08
  4. Step 4: Simplify right side
    6,762.96x = 37,054,185.87
  5. Step 5: Solve for x
    x = 37,054,185.87/6,762.96
  6. Step 6: Final answer
    x = 5,478.99

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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.