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Finding the Fourth Proportional to 2,971.42, 4,448.20 and 2,900.68

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Solution

The fourth proportional to 2,971.42, 4,448.20 and 2,900.68 is: 4,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.42 : 4,448.20 = 2,900.68 : x
  2. Step 2: Convert to fraction form
    2,971.42/4,448.20 = 2,900.68/x
  3. Step 3: Cross multiply
    2,971.42x = 4,448.20 × 2,900.68
  4. Step 4: Simplify right side
    2,971.42x = 12,902,804.78
  5. Step 5: Solve for x
    x = 12,902,804.78/2,971.42
  6. Step 6: Final answer
    x = 4,342.30

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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.