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Finding the Fourth Proportional to 1,897.80, 2,833.74 and 1,623.48

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Solution

The fourth proportional to 1,897.80, 2,833.74 and 1,623.48 is: 2,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.80 : 2,833.74 = 1,623.48 : x
  2. Step 2: Convert to fraction form
    1,897.80/2,833.74 = 1,623.48/x
  3. Step 3: Cross multiply
    1,897.80x = 2,833.74 × 1,623.48
  4. Step 4: Simplify right side
    1,897.80x = 4,600,520.22
  5. Step 5: Solve for x
    x = 4,600,520.22/1,897.80
  6. Step 6: Final answer
    x = 2,424.13

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1.5x scale

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.