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Finding the Fourth Proportional to 8,978.28, 13,465.80 and 4,047

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Solution

The fourth proportional to 8,978.28, 13,465.80 and 4,047 is: 6,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.28 : 13,465.80 = 4,047 : x
  2. Step 2: Convert to fraction form
    8,978.28/13,465.80 = 4,047/x
  3. Step 3: Cross multiply
    8,978.28x = 13,465.80 × 4,047
  4. Step 4: Simplify right side
    8,978.28x = 54,496,092.60
  5. Step 5: Solve for x
    x = 54,496,092.60/8,978.28
  6. Step 6: Final answer
    x = 6,069.77

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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.