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Finding the Fourth Proportional to 1,382.81, 1,907.28 and 886.07

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Solution

The fourth proportional to 1,382.81, 1,907.28 and 886.07 is: 1,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.81 : 1,907.28 = 886.07 : x
  2. Step 2: Convert to fraction form
    1,382.81/1,907.28 = 886.07/x
  3. Step 3: Cross multiply
    1,382.81x = 1,907.28 × 886.07
  4. Step 4: Simplify right side
    1,382.81x = 1,689,988.36
  5. Step 5: Solve for x
    x = 1,689,988.36/1,382.81
  6. Step 6: Final answer
    x = 1,222.15

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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.