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Finding the Fourth Proportional to 1,378.74, 1,900.62 and 1,006.14

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Solution

The fourth proportional to 1,378.74, 1,900.62 and 1,006.14 is: 1,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.74 : 1,900.62 = 1,006.14 : x
  2. Step 2: Convert to fraction form
    1,378.74/1,900.62 = 1,006.14/x
  3. Step 3: Cross multiply
    1,378.74x = 1,900.62 × 1,006.14
  4. Step 4: Simplify right side
    1,378.74x = 1,912,289.81
  5. Step 5: Solve for x
    x = 1,912,289.81/1,378.74
  6. Step 6: Final answer
    x = 1,386.98

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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.