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Finding the Fourth Proportional to 30,668.71, 46,020.92 and 12,898.08

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Solution

The fourth proportional to 30,668.71, 46,020.92 and 12,898.08 is: 19,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.71 : 46,020.92 = 12,898.08 : x
  2. Step 2: Convert to fraction form
    30,668.71/46,020.92 = 12,898.08/x
  3. Step 3: Cross multiply
    30,668.71x = 46,020.92 × 12,898.08
  4. Step 4: Simplify right side
    30,668.71x = 593,581,213.24
  5. Step 5: Solve for x
    x = 593,581,213.24/30,668.71
  6. Step 6: Final answer
    x = 19,354.62

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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.