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Finding the Fourth Proportional to 30,721.48, 46,078.98 and 9,940.12

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Solution

The fourth proportional to 30,721.48, 46,078.98 and 9,940.12 is: 14,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,721.48 : 46,078.98 = 9,940.12 : x
  2. Step 2: Convert to fraction form
    30,721.48/46,078.98 = 9,940.12/x
  3. Step 3: Cross multiply
    30,721.48x = 46,078.98 × 9,940.12
  4. Step 4: Simplify right side
    30,721.48x = 458,030,590.68
  5. Step 5: Solve for x
    x = 458,030,590.68/30,721.48
  6. Step 6: Final answer
    x = 14,909.13

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1.5x scale

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.