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Finding the Fourth Proportional to 14,640.64, 20,212.80 and 9,059.20

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Solution

The fourth proportional to 14,640.64, 20,212.80 and 9,059.20 is: 12,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.64 : 20,212.80 = 9,059.20 : x
  2. Step 2: Convert to fraction form
    14,640.64/20,212.80 = 9,059.20/x
  3. Step 3: Cross multiply
    14,640.64x = 20,212.80 × 9,059.20
  4. Step 4: Simplify right side
    14,640.64x = 183,111,797.76
  5. Step 5: Solve for x
    x = 183,111,797.76/14,640.64
  6. Step 6: Final answer
    x = 12,507.09

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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.