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Finding the Fourth Proportional to 32,007.60, 48,011.40 and 20,372.40

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Solution

The fourth proportional to 32,007.60, 48,011.40 and 20,372.40 is: 30,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.60 : 48,011.40 = 20,372.40 : x
  2. Step 2: Convert to fraction form
    32,007.60/48,011.40 = 20,372.40/x
  3. Step 3: Cross multiply
    32,007.60x = 48,011.40 × 20,372.40
  4. Step 4: Simplify right side
    32,007.60x = 978,107,445.36
  5. Step 5: Solve for x
    x = 978,107,445.36/32,007.60
  6. Step 6: Final answer
    x = 30,558.60

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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.