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Finding the Fourth Proportional to 3,519, 5,279.40 and 1,210.56

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Solution

The fourth proportional to 3,519, 5,279.40 and 1,210.56 is: 1,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519 : 5,279.40 = 1,210.56 : x
  2. Step 2: Convert to fraction form
    3,519/5,279.40 = 1,210.56/x
  3. Step 3: Cross multiply
    3,519x = 5,279.40 × 1,210.56
  4. Step 4: Simplify right side
    3,519x = 6,391,030.46
  5. Step 5: Solve for x
    x = 6,391,030.46/3,519
  6. Step 6: Final answer
    x = 1,816.15

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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.