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Finding the Fourth Proportional to 38,656.20, 57,978.90 and 12,363.60

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Solution

The fourth proportional to 38,656.20, 57,978.90 and 12,363.60 is: 18,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656.20 : 57,978.90 = 12,363.60 : x
  2. Step 2: Convert to fraction form
    38,656.20/57,978.90 = 12,363.60/x
  3. Step 3: Cross multiply
    38,656.20x = 57,978.90 × 12,363.60
  4. Step 4: Simplify right side
    38,656.20x = 716,827,928.04
  5. Step 5: Solve for x
    x = 716,827,928.04/38,656.20
  6. Step 6: Final answer
    x = 18,543.67

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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.