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Finding the Fourth Proportional to 1,897.70, 2,829.81 and 1,830.02

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Solution

The fourth proportional to 1,897.70, 2,829.81 and 1,830.02 is: 2,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.70 : 2,829.81 = 1,830.02 : x
  2. Step 2: Convert to fraction form
    1,897.70/2,829.81 = 1,830.02/x
  3. Step 3: Cross multiply
    1,897.70x = 2,829.81 × 1,830.02
  4. Step 4: Simplify right side
    1,897.70x = 5,178,599.75
  5. Step 5: Solve for x
    x = 5,178,599.75/1,897.70
  6. Step 6: Final answer
    x = 2,728.88

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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.