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Finding the Fourth Proportional to 32,940.42, 49,410.46 and 7,980.47

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Solution

The fourth proportional to 32,940.42, 49,410.46 and 7,980.47 is: 11,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.42 : 49,410.46 = 7,980.47 : x
  2. Step 2: Convert to fraction form
    32,940.42/49,410.46 = 7,980.47/x
  3. Step 3: Cross multiply
    32,940.42x = 49,410.46 × 7,980.47
  4. Step 4: Simplify right side
    32,940.42x = 394,318,700.19
  5. Step 5: Solve for x
    x = 394,318,700.19/32,940.42
  6. Step 6: Final answer
    x = 11,970.66

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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.