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Finding the Fourth Proportional to 6,390, 8,818.20 and 5,266.80

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Solution

The fourth proportional to 6,390, 8,818.20 and 5,266.80 is: 7,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390 : 8,818.20 = 5,266.80 : x
  2. Step 2: Convert to fraction form
    6,390/8,818.20 = 5,266.80/x
  3. Step 3: Cross multiply
    6,390x = 8,818.20 × 5,266.80
  4. Step 4: Simplify right side
    6,390x = 46,443,695.76
  5. Step 5: Solve for x
    x = 46,443,695.76/6,390
  6. Step 6: Final answer
    x = 7,268.18

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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.