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Finding the Fourth Proportional to 1,897.84, 2,617 and 1,498.80

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Solution

The fourth proportional to 1,897.84, 2,617 and 1,498.80 is: 2,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.84 : 2,617 = 1,498.80 : x
  2. Step 2: Convert to fraction form
    1,897.84/2,617 = 1,498.80/x
  3. Step 3: Cross multiply
    1,897.84x = 2,617 × 1,498.80
  4. Step 4: Simplify right side
    1,897.84x = 3,922,359.60
  5. Step 5: Solve for x
    x = 3,922,359.60/1,897.84
  6. Step 6: Final answer
    x = 2,066.75

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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.