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Finding the Fourth Proportional to 25,400, 35,043.90 and 16,454.36

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Solution

The fourth proportional to 25,400, 35,043.90 and 16,454.36 is: 22,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400 : 35,043.90 = 16,454.36 : x
  2. Step 2: Convert to fraction form
    25,400/35,043.90 = 16,454.36/x
  3. Step 3: Cross multiply
    25,400x = 35,043.90 × 16,454.36
  4. Step 4: Simplify right side
    25,400x = 576,624,946.40
  5. Step 5: Solve for x
    x = 576,624,946.40/25,400
  6. Step 6: Final answer
    x = 22,701.77

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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.