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Finding the Fourth Proportional to 30,994.45, 46,494.74 and 9,929.18

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Solution

The fourth proportional to 30,994.45, 46,494.74 and 9,929.18 is: 14,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.45 : 46,494.74 = 9,929.18 : x
  2. Step 2: Convert to fraction form
    30,994.45/46,494.74 = 9,929.18/x
  3. Step 3: Cross multiply
    30,994.45x = 46,494.74 × 9,929.18
  4. Step 4: Simplify right side
    30,994.45x = 461,654,783.57
  5. Step 5: Solve for x
    x = 461,654,783.57/30,994.45
  6. Step 6: Final answer
    x = 14,894.76

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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.