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Finding the Fourth Proportional to 19,305.64, 28,962.30 and 8,212.24

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Solution

The fourth proportional to 19,305.64, 28,962.30 and 8,212.24 is: 12,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305.64 : 28,962.30 = 8,212.24 : x
  2. Step 2: Convert to fraction form
    19,305.64/28,962.30 = 8,212.24/x
  3. Step 3: Cross multiply
    19,305.64x = 28,962.30 × 8,212.24
  4. Step 4: Simplify right side
    19,305.64x = 237,845,358.55
  5. Step 5: Solve for x
    x = 237,845,358.55/19,305.64
  6. Step 6: Final answer
    x = 12,319.99

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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.