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Finding the Fourth Proportional to 4,654.95, 6,978.48 and 2,020.47

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Solution

The fourth proportional to 4,654.95, 6,978.48 and 2,020.47 is: 3,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.95 : 6,978.48 = 2,020.47 : x
  2. Step 2: Convert to fraction form
    4,654.95/6,978.48 = 2,020.47/x
  3. Step 3: Cross multiply
    4,654.95x = 6,978.48 × 2,020.47
  4. Step 4: Simplify right side
    4,654.95x = 14,099,810.75
  5. Step 5: Solve for x
    x = 14,099,810.75/4,654.95
  6. Step 6: Final answer
    x = 3,029.00

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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.