Home / 1,384.92-2,084.36-1,040.06

Finding the Fourth Proportional to 1,384.92, 2,084.36 and 1,040.06

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Solution

The fourth proportional to 1,384.92, 2,084.36 and 1,040.06 is: 1,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.92 : 2,084.36 = 1,040.06 : x
  2. Step 2: Convert to fraction form
    1,384.92/2,084.36 = 1,040.06/x
  3. Step 3: Cross multiply
    1,384.92x = 2,084.36 × 1,040.06
  4. Step 4: Simplify right side
    1,384.92x = 2,167,859.47
  5. Step 5: Solve for x
    x = 2,167,859.47/1,384.92
  6. Step 6: Final answer
    x = 1,565.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.