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Finding the Fourth Proportional to 3,490, 4,818.64 and 2,443.48

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Solution

The fourth proportional to 3,490, 4,818.64 and 2,443.48 is: 3,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490 : 4,818.64 = 2,443.48 : x
  2. Step 2: Convert to fraction form
    3,490/4,818.64 = 2,443.48/x
  3. Step 3: Cross multiply
    3,490x = 4,818.64 × 2,443.48
  4. Step 4: Simplify right side
    3,490x = 11,774,250.47
  5. Step 5: Solve for x
    x = 11,774,250.47/3,490
  6. Step 6: Final answer
    x = 3,373.71

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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.