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Finding the Fourth Proportional to 15,318.86, 22,978.41 and 8,389.58

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Solution

The fourth proportional to 15,318.86, 22,978.41 and 8,389.58 is: 12,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318.86 : 22,978.41 = 8,389.58 : x
  2. Step 2: Convert to fraction form
    15,318.86/22,978.41 = 8,389.58/x
  3. Step 3: Cross multiply
    15,318.86x = 22,978.41 × 8,389.58
  4. Step 4: Simplify right side
    15,318.86x = 192,779,208.97
  5. Step 5: Solve for x
    x = 192,779,208.97/15,318.86
  6. Step 6: Final answer
    x = 12,584.44

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1.5x scale

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.