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Finding the Fourth Proportional to 8,199.79, 11,315.65 and 4,663

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Solution

The fourth proportional to 8,199.79, 11,315.65 and 4,663 is: 6,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.79 : 11,315.65 = 4,663 : x
  2. Step 2: Convert to fraction form
    8,199.79/11,315.65 = 4,663/x
  3. Step 3: Cross multiply
    8,199.79x = 11,315.65 × 4,663
  4. Step 4: Simplify right side
    8,199.79x = 52,764,875.95
  5. Step 5: Solve for x
    x = 52,764,875.95/8,199.79
  6. Step 6: Final answer
    x = 6,434.91

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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.