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Finding the Fourth Proportional to 3,381.63, 5,070.18 and 1,406.74

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Solution

The fourth proportional to 3,381.63, 5,070.18 and 1,406.74 is: 2,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.63 : 5,070.18 = 1,406.74 : x
  2. Step 2: Convert to fraction form
    3,381.63/5,070.18 = 1,406.74/x
  3. Step 3: Cross multiply
    3,381.63x = 5,070.18 × 1,406.74
  4. Step 4: Simplify right side
    3,381.63x = 7,132,425.01
  5. Step 5: Solve for x
    x = 7,132,425.01/3,381.63
  6. Step 6: Final answer
    x = 2,109.17

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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.