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Finding the Fourth Proportional to 11,783.94, 16,262.10 and 6,478.98

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Solution

The fourth proportional to 11,783.94, 16,262.10 and 6,478.98 is: 8,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.94 : 16,262.10 = 6,478.98 : x
  2. Step 2: Convert to fraction form
    11,783.94/16,262.10 = 6,478.98/x
  3. Step 3: Cross multiply
    11,783.94x = 16,262.10 × 6,478.98
  4. Step 4: Simplify right side
    11,783.94x = 105,361,820.66
  5. Step 5: Solve for x
    x = 105,361,820.66/11,783.94
  6. Step 6: Final answer
    x = 8,941.14

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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.