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Finding the Fourth Proportional to 30,829.66, 46,252.32 and 8,643.13

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Solution

The fourth proportional to 30,829.66, 46,252.32 and 8,643.13 is: 12,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.66 : 46,252.32 = 8,643.13 : x
  2. Step 2: Convert to fraction form
    30,829.66/46,252.32 = 8,643.13/x
  3. Step 3: Cross multiply
    30,829.66x = 46,252.32 × 8,643.13
  4. Step 4: Simplify right side
    30,829.66x = 399,764,814.56
  5. Step 5: Solve for x
    x = 399,764,814.56/30,829.66
  6. Step 6: Final answer
    x = 12,966.89

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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.