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Finding the Fourth Proportional to 1,382.11, 1,907.18 and 784.63

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Solution

The fourth proportional to 1,382.11, 1,907.18 and 784.63 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.11 : 1,907.18 = 784.63 : x
  2. Step 2: Convert to fraction form
    1,382.11/1,907.18 = 784.63/x
  3. Step 3: Cross multiply
    1,382.11x = 1,907.18 × 784.63
  4. Step 4: Simplify right side
    1,382.11x = 1,496,430.64
  5. Step 5: Solve for x
    x = 1,496,430.64/1,382.11
  6. Step 6: Final answer
    x = 1,082.71

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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.