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Finding the Fourth Proportional to 2,897.70, 4,353.46 and 1,859.71

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Solution

The fourth proportional to 2,897.70, 4,353.46 and 1,859.71 is: 2,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.70 : 4,353.46 = 1,859.71 : x
  2. Step 2: Convert to fraction form
    2,897.70/4,353.46 = 1,859.71/x
  3. Step 3: Cross multiply
    2,897.70x = 4,353.46 × 1,859.71
  4. Step 4: Simplify right side
    2,897.70x = 8,096,173.10
  5. Step 5: Solve for x
    x = 8,096,173.10/2,897.70
  6. Step 6: Final answer
    x = 2,794.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.