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Finding the Fourth Proportional to 16,420.85, 22,661.93 and 9,153.41

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Solution

The fourth proportional to 16,420.85, 22,661.93 and 9,153.41 is: 12,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.85 : 22,661.93 = 9,153.41 : x
  2. Step 2: Convert to fraction form
    16,420.85/22,661.93 = 9,153.41/x
  3. Step 3: Cross multiply
    16,420.85x = 22,661.93 × 9,153.41
  4. Step 4: Simplify right side
    16,420.85x = 207,433,794.77
  5. Step 5: Solve for x
    x = 207,433,794.77/16,420.85
  6. Step 6: Final answer
    x = 12,632.34

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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.