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Finding the Fourth Proportional to 30,908.48, 46,362.24 and 12,440

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Solution

The fourth proportional to 30,908.48, 46,362.24 and 12,440 is: 18,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.48 : 46,362.24 = 12,440 : x
  2. Step 2: Convert to fraction form
    30,908.48/46,362.24 = 12,440/x
  3. Step 3: Cross multiply
    30,908.48x = 46,362.24 × 12,440
  4. Step 4: Simplify right side
    30,908.48x = 576,746,265.60
  5. Step 5: Solve for x
    x = 576,746,265.60/30,908.48
  6. Step 6: Final answer
    x = 18,659.81

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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.