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Finding the Fourth Proportional to 3,013.04, 4,158 and 1,686.74

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Solution

The fourth proportional to 3,013.04, 4,158 and 1,686.74 is: 2,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.04 : 4,158 = 1,686.74 : x
  2. Step 2: Convert to fraction form
    3,013.04/4,158 = 1,686.74/x
  3. Step 3: Cross multiply
    3,013.04x = 4,158 × 1,686.74
  4. Step 4: Simplify right side
    3,013.04x = 7,013,464.92
  5. Step 5: Solve for x
    x = 7,013,464.92/3,013.04
  6. Step 6: Final answer
    x = 2,327.70

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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.