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Finding the Fourth Proportional to 1,382.14, 1,907.43 and 916.06

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Solution

The fourth proportional to 1,382.14, 1,907.43 and 916.06 is: 1,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.14 : 1,907.43 = 916.06 : x
  2. Step 2: Convert to fraction form
    1,382.14/1,907.43 = 916.06/x
  3. Step 3: Cross multiply
    1,382.14x = 1,907.43 × 916.06
  4. Step 4: Simplify right side
    1,382.14x = 1,747,320.33
  5. Step 5: Solve for x
    x = 1,747,320.33/1,382.14
  6. Step 6: Final answer
    x = 1,264.21

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1.5x scale

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.