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Finding the Fourth Proportional to 32,917.60, 45,411.78 and 20,978.20

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Solution

The fourth proportional to 32,917.60, 45,411.78 and 20,978.20 is: 28,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,917.60 : 45,411.78 = 20,978.20 : x
  2. Step 2: Convert to fraction form
    32,917.60/45,411.78 = 20,978.20/x
  3. Step 3: Cross multiply
    32,917.60x = 45,411.78 × 20,978.20
  4. Step 4: Simplify right side
    32,917.60x = 952,657,403.20
  5. Step 5: Solve for x
    x = 952,657,403.20/32,917.60
  6. Step 6: Final answer
    x = 28,940.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.