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Finding the Fourth Proportional to 8,782.49, 12,107.68 and 5,945.40

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Solution

The fourth proportional to 8,782.49, 12,107.68 and 5,945.40 is: 8,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.49 : 12,107.68 = 5,945.40 : x
  2. Step 2: Convert to fraction form
    8,782.49/12,107.68 = 5,945.40/x
  3. Step 3: Cross multiply
    8,782.49x = 12,107.68 × 5,945.40
  4. Step 4: Simplify right side
    8,782.49x = 71,984,985.81
  5. Step 5: Solve for x
    x = 71,984,985.81/8,782.49
  6. Step 6: Final answer
    x = 8,196.42

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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.