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Finding the Fourth Proportional to 30,409.32, 41,963.47 and 16,977.94

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Solution

The fourth proportional to 30,409.32, 41,963.47 and 16,977.94 is: 23,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.32 : 41,963.47 = 16,977.94 : x
  2. Step 2: Convert to fraction form
    30,409.32/41,963.47 = 16,977.94/x
  3. Step 3: Cross multiply
    30,409.32x = 41,963.47 × 16,977.94
  4. Step 4: Simplify right side
    30,409.32x = 712,453,128.50
  5. Step 5: Solve for x
    x = 712,453,128.50/30,409.32
  6. Step 6: Final answer
    x = 23,428.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.