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Finding the Fourth Proportional to 5,985.73, 8,978.59 and 5,977.08

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Solution

The fourth proportional to 5,985.73, 8,978.59 and 5,977.08 is: 8,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.73 : 8,978.59 = 5,977.08 : x
  2. Step 2: Convert to fraction form
    5,985.73/8,978.59 = 5,977.08/x
  3. Step 3: Cross multiply
    5,985.73x = 8,978.59 × 5,977.08
  4. Step 4: Simplify right side
    5,985.73x = 53,665,750.72
  5. Step 5: Solve for x
    x = 53,665,750.72/5,985.73
  6. Step 6: Final answer
    x = 8,965.62

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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.