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Finding the Fourth Proportional to 2,897, 4,308.23 and 2,804.74

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Solution

The fourth proportional to 2,897, 4,308.23 and 2,804.74 is: 4,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897 : 4,308.23 = 2,804.74 : x
  2. Step 2: Convert to fraction form
    2,897/4,308.23 = 2,804.74/x
  3. Step 3: Cross multiply
    2,897x = 4,308.23 × 2,804.74
  4. Step 4: Simplify right side
    2,897x = 12,083,443.47
  5. Step 5: Solve for x
    x = 12,083,443.47/2,897
  6. Step 6: Final answer
    x = 4,171.02

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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.