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Finding the Fourth Proportional to 8,384, 12,581.76 and 2,912

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Solution

The fourth proportional to 8,384, 12,581.76 and 2,912 is: 4,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384 : 12,581.76 = 2,912 : x
  2. Step 2: Convert to fraction form
    8,384/12,581.76 = 2,912/x
  3. Step 3: Cross multiply
    8,384x = 12,581.76 × 2,912
  4. Step 4: Simplify right side
    8,384x = 36,638,085.12
  5. Step 5: Solve for x
    x = 36,638,085.12/8,384
  6. Step 6: Final answer
    x = 4,370.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.