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Finding the Fourth Proportional to 3,488.50, 4,814 and 1,895.08

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Solution

The fourth proportional to 3,488.50, 4,814 and 1,895.08 is: 2,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.50 : 4,814 = 1,895.08 : x
  2. Step 2: Convert to fraction form
    3,488.50/4,814 = 1,895.08/x
  3. Step 3: Cross multiply
    3,488.50x = 4,814 × 1,895.08
  4. Step 4: Simplify right side
    3,488.50x = 9,122,915.12
  5. Step 5: Solve for x
    x = 9,122,915.12/3,488.50
  6. Step 6: Final answer
    x = 2,615.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.