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Finding the Fourth Proportional to 30,929.34, 46,394.02 and 11,207.92

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Solution

The fourth proportional to 30,929.34, 46,394.02 and 11,207.92 is: 16,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.34 : 46,394.02 = 11,207.92 : x
  2. Step 2: Convert to fraction form
    30,929.34/46,394.02 = 11,207.92/x
  3. Step 3: Cross multiply
    30,929.34x = 46,394.02 × 11,207.92
  4. Step 4: Simplify right side
    30,929.34x = 519,980,386.61
  5. Step 5: Solve for x
    x = 519,980,386.61/30,929.34
  6. Step 6: Final answer
    x = 16,811.88

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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.