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Finding the Fourth Proportional to 16,340.40, 22,545 and 9,622.80

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Solution

The fourth proportional to 16,340.40, 22,545 and 9,622.80 is: 13,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.40 : 22,545 = 9,622.80 : x
  2. Step 2: Convert to fraction form
    16,340.40/22,545 = 9,622.80/x
  3. Step 3: Cross multiply
    16,340.40x = 22,545 × 9,622.80
  4. Step 4: Simplify right side
    16,340.40x = 216,946,026.00
  5. Step 5: Solve for x
    x = 216,946,026.00/16,340.40
  6. Step 6: Final answer
    x = 13,276.67

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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.