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Finding the Fourth Proportional to 3,480, 5,222.16 and 2,019.84

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Solution

The fourth proportional to 3,480, 5,222.16 and 2,019.84 is: 3,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480 : 5,222.16 = 2,019.84 : x
  2. Step 2: Convert to fraction form
    3,480/5,222.16 = 2,019.84/x
  3. Step 3: Cross multiply
    3,480x = 5,222.16 × 2,019.84
  4. Step 4: Simplify right side
    3,480x = 10,547,927.65
  5. Step 5: Solve for x
    x = 10,547,927.65/3,480
  6. Step 6: Final answer
    x = 3,031.01

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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.