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Finding the Fourth Proportional to 14,783.18, 20,400.78 and 8,409.74

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Solution

The fourth proportional to 14,783.18, 20,400.78 and 8,409.74 is: 11,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.18 : 20,400.78 = 8,409.74 : x
  2. Step 2: Convert to fraction form
    14,783.18/20,400.78 = 8,409.74/x
  3. Step 3: Cross multiply
    14,783.18x = 20,400.78 × 8,409.74
  4. Step 4: Simplify right side
    14,783.18x = 171,565,255.60
  5. Step 5: Solve for x
    x = 171,565,255.60/14,783.18
  6. Step 6: Final answer
    x = 11,605.44

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1.5x scale

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.