Home / 1,415.16-1,946.88-1,382.40

Finding the Fourth Proportional to 1,415.16, 1,946.88 and 1,382.40

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Solution

The fourth proportional to 1,415.16, 1,946.88 and 1,382.40 is: 1,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.16 : 1,946.88 = 1,382.40 : x
  2. Step 2: Convert to fraction form
    1,415.16/1,946.88 = 1,382.40/x
  3. Step 3: Cross multiply
    1,415.16x = 1,946.88 × 1,382.40
  4. Step 4: Simplify right side
    1,415.16x = 2,691,366.91
  5. Step 5: Solve for x
    x = 2,691,366.91/1,415.16
  6. Step 6: Final answer
    x = 1,901.81

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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.