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Finding the Fourth Proportional to 30,833.80, 46,248.32 and 8,646

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Solution

The fourth proportional to 30,833.80, 46,248.32 and 8,646 is: 12,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.80 : 46,248.32 = 8,646 : x
  2. Step 2: Convert to fraction form
    30,833.80/46,248.32 = 8,646/x
  3. Step 3: Cross multiply
    30,833.80x = 46,248.32 × 8,646
  4. Step 4: Simplify right side
    30,833.80x = 399,862,974.72
  5. Step 5: Solve for x
    x = 399,862,974.72/30,833.80
  6. Step 6: Final answer
    x = 12,968.33

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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.