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Finding the Fourth Proportional to 1,681.76, 2,321.04 and 1,018.62

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Solution

The fourth proportional to 1,681.76, 2,321.04 and 1,018.62 is: 1,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.76 : 2,321.04 = 1,018.62 : x
  2. Step 2: Convert to fraction form
    1,681.76/2,321.04 = 1,018.62/x
  3. Step 3: Cross multiply
    1,681.76x = 2,321.04 × 1,018.62
  4. Step 4: Simplify right side
    1,681.76x = 2,364,257.76
  5. Step 5: Solve for x
    x = 2,364,257.76/1,681.76
  6. Step 6: Final answer
    x = 1,405.83

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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.