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Finding the Fourth Proportional to 3,897.70, 5,845.99 and 2,317.35

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Solution

The fourth proportional to 3,897.70, 5,845.99 and 2,317.35 is: 3,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.70 : 5,845.99 = 2,317.35 : x
  2. Step 2: Convert to fraction form
    3,897.70/5,845.99 = 2,317.35/x
  3. Step 3: Cross multiply
    3,897.70x = 5,845.99 × 2,317.35
  4. Step 4: Simplify right side
    3,897.70x = 13,547,204.93
  5. Step 5: Solve for x
    x = 13,547,204.93/3,897.70
  6. Step 6: Final answer
    x = 3,475.69

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1.5x scale

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.