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Finding the Fourth Proportional to 6,448.41, 8,903.93 and 5,185.42

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Solution

The fourth proportional to 6,448.41, 8,903.93 and 5,185.42 is: 7,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.41 : 8,903.93 = 5,185.42 : x
  2. Step 2: Convert to fraction form
    6,448.41/8,903.93 = 5,185.42/x
  3. Step 3: Cross multiply
    6,448.41x = 8,903.93 × 5,185.42
  4. Step 4: Simplify right side
    6,448.41x = 46,170,568.51
  5. Step 5: Solve for x
    x = 46,170,568.51/6,448.41
  6. Step 6: Final answer
    x = 7,159.99

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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.