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Finding the Fourth Proportional to 32,157.60, 48,243.60 and 12,434.40

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Solution

The fourth proportional to 32,157.60, 48,243.60 and 12,434.40 is: 18,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.60 : 48,243.60 = 12,434.40 : x
  2. Step 2: Convert to fraction form
    32,157.60/48,243.60 = 12,434.40/x
  3. Step 3: Cross multiply
    32,157.60x = 48,243.60 × 12,434.40
  4. Step 4: Simplify right side
    32,157.60x = 599,880,219.84
  5. Step 5: Solve for x
    x = 599,880,219.84/32,157.60
  6. Step 6: Final answer
    x = 18,654.38

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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.