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Finding the Fourth Proportional to 2,319, 3,476.08 and 1,085.38

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Solution

The fourth proportional to 2,319, 3,476.08 and 1,085.38 is: 1,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319 : 3,476.08 = 1,085.38 : x
  2. Step 2: Convert to fraction form
    2,319/3,476.08 = 1,085.38/x
  3. Step 3: Cross multiply
    2,319x = 3,476.08 × 1,085.38
  4. Step 4: Simplify right side
    2,319x = 3,772,867.71
  5. Step 5: Solve for x
    x = 3,772,867.71/2,319
  6. Step 6: Final answer
    x = 1,626.94

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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.