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Finding the Fourth Proportional to 2,678.74, 4,019.93 and 947.37

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Solution

The fourth proportional to 2,678.74, 4,019.93 and 947.37 is: 1,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.74 : 4,019.93 = 947.37 : x
  2. Step 2: Convert to fraction form
    2,678.74/4,019.93 = 947.37/x
  3. Step 3: Cross multiply
    2,678.74x = 4,019.93 × 947.37
  4. Step 4: Simplify right side
    2,678.74x = 3,808,361.08
  5. Step 5: Solve for x
    x = 3,808,361.08/2,678.74
  6. Step 6: Final answer
    x = 1,421.70

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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.