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Finding the Fourth Proportional to 1,698.74, 2,536.48 and 1,521.90

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Solution

The fourth proportional to 1,698.74, 2,536.48 and 1,521.90 is: 2,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.74 : 2,536.48 = 1,521.90 : x
  2. Step 2: Convert to fraction form
    1,698.74/2,536.48 = 1,521.90/x
  3. Step 3: Cross multiply
    1,698.74x = 2,536.48 × 1,521.90
  4. Step 4: Simplify right side
    1,698.74x = 3,860,270.81
  5. Step 5: Solve for x
    x = 3,860,270.81/1,698.74
  6. Step 6: Final answer
    x = 2,272.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.