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Finding the Fourth Proportional to 16,823.70, 25,247.70 and 9,420.30

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Solution

The fourth proportional to 16,823.70, 25,247.70 and 9,420.30 is: 14,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.70 : 25,247.70 = 9,420.30 : x
  2. Step 2: Convert to fraction form
    16,823.70/25,247.70 = 9,420.30/x
  3. Step 3: Cross multiply
    16,823.70x = 25,247.70 × 9,420.30
  4. Step 4: Simplify right side
    16,823.70x = 237,840,908.31
  5. Step 5: Solve for x
    x = 237,840,908.31/16,823.70
  6. Step 6: Final answer
    x = 14,137.25

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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.