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Finding the Fourth Proportional to 13,214.64, 19,783.08 and 8,821.20

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Solution

The fourth proportional to 13,214.64, 19,783.08 and 8,821.20 is: 13,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.64 : 19,783.08 = 8,821.20 : x
  2. Step 2: Convert to fraction form
    13,214.64/19,783.08 = 8,821.20/x
  3. Step 3: Cross multiply
    13,214.64x = 19,783.08 × 8,821.20
  4. Step 4: Simplify right side
    13,214.64x = 174,510,505.30
  5. Step 5: Solve for x
    x = 174,510,505.30/13,214.64
  6. Step 6: Final answer
    x = 13,205.85

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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.