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Finding the Fourth Proportional to 18,051.86, 24,911.35 and 9,985.95

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Solution

The fourth proportional to 18,051.86, 24,911.35 and 9,985.95 is: 13,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,051.86 : 24,911.35 = 9,985.95 : x
  2. Step 2: Convert to fraction form
    18,051.86/24,911.35 = 9,985.95/x
  3. Step 3: Cross multiply
    18,051.86x = 24,911.35 × 9,985.95
  4. Step 4: Simplify right side
    18,051.86x = 248,763,470.57
  5. Step 5: Solve for x
    x = 248,763,470.57/18,051.86
  6. Step 6: Final answer
    x = 13,780.49

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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.