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Finding the Fourth Proportional to 7,074.42, 9,762.78 and 4,090.38

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Solution

The fourth proportional to 7,074.42, 9,762.78 and 4,090.38 is: 5,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.42 : 9,762.78 = 4,090.38 : x
  2. Step 2: Convert to fraction form
    7,074.42/9,762.78 = 4,090.38/x
  3. Step 3: Cross multiply
    7,074.42x = 9,762.78 × 4,090.38
  4. Step 4: Simplify right side
    7,074.42x = 39,933,480.06
  5. Step 5: Solve for x
    x = 39,933,480.06/7,074.42
  6. Step 6: Final answer
    x = 5,644.77

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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.