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Finding the Fourth Proportional to 32,011.20, 47,973.60 and 21,451.20

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Solution

The fourth proportional to 32,011.20, 47,973.60 and 21,451.20 is: 32,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.20 : 47,973.60 = 21,451.20 : x
  2. Step 2: Convert to fraction form
    32,011.20/47,973.60 = 21,451.20/x
  3. Step 3: Cross multiply
    32,011.20x = 47,973.60 × 21,451.20
  4. Step 4: Simplify right side
    32,011.20x = 1,029,091,288.32
  5. Step 5: Solve for x
    x = 1,029,091,288.32/32,011.20
  6. Step 6: Final answer
    x = 32,147.85

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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.