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Finding the Fourth Proportional to 8,130, 11,219.40 and 4,818

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Solution

The fourth proportional to 8,130, 11,219.40 and 4,818 is: 6,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130 : 11,219.40 = 4,818 : x
  2. Step 2: Convert to fraction form
    8,130/11,219.40 = 4,818/x
  3. Step 3: Cross multiply
    8,130x = 11,219.40 × 4,818
  4. Step 4: Simplify right side
    8,130x = 54,055,069.20
  5. Step 5: Solve for x
    x = 54,055,069.20/8,130
  6. Step 6: Final answer
    x = 6,648.84

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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.