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Finding the Fourth Proportional to 8,783.49, 12,109.06 and 5,946.40

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Solution

The fourth proportional to 8,783.49, 12,109.06 and 5,946.40 is: 8,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.49 : 12,109.06 = 5,946.40 : x
  2. Step 2: Convert to fraction form
    8,783.49/12,109.06 = 5,946.40/x
  3. Step 3: Cross multiply
    8,783.49x = 12,109.06 × 5,946.40
  4. Step 4: Simplify right side
    8,783.49x = 72,005,314.38
  5. Step 5: Solve for x
    x = 72,005,314.38/8,783.49
  6. Step 6: Final answer
    x = 8,197.80

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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.