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Finding the Fourth Proportional to 14,751.11, 20,356.55 and 8,782.98

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Solution

The fourth proportional to 14,751.11, 20,356.55 and 8,782.98 is: 12,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.11 : 20,356.55 = 8,782.98 : x
  2. Step 2: Convert to fraction form
    14,751.11/20,356.55 = 8,782.98/x
  3. Step 3: Cross multiply
    14,751.11x = 20,356.55 × 8,782.98
  4. Step 4: Simplify right side
    14,751.11x = 178,791,127.60
  5. Step 5: Solve for x
    x = 178,791,127.60/14,751.11
  6. Step 6: Final answer
    x = 12,120.52

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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.