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Finding the Fourth Proportional to 1,897.70, 2,619 and 1,151.48

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Solution

The fourth proportional to 1,897.70, 2,619 and 1,151.48 is: 1,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.70 : 2,619 = 1,151.48 : x
  2. Step 2: Convert to fraction form
    1,897.70/2,619 = 1,151.48/x
  3. Step 3: Cross multiply
    1,897.70x = 2,619 × 1,151.48
  4. Step 4: Simplify right side
    1,897.70x = 3,015,732.67
  5. Step 5: Solve for x
    x = 3,015,732.67/1,897.70
  6. Step 6: Final answer
    x = 1,589.16

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1.5x scale

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.