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Finding the Fourth Proportional to 3,478, 4,802.16 and 2,238.16

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Solution

The fourth proportional to 3,478, 4,802.16 and 2,238.16 is: 3,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478 : 4,802.16 = 2,238.16 : x
  2. Step 2: Convert to fraction form
    3,478/4,802.16 = 2,238.16/x
  3. Step 3: Cross multiply
    3,478x = 4,802.16 × 2,238.16
  4. Step 4: Simplify right side
    3,478x = 10,748,002.43
  5. Step 5: Solve for x
    x = 10,748,002.43/3,478
  6. Step 6: Final answer
    x = 3,090.28

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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.