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Finding the Fourth Proportional to 14,649.60, 20,200.32 and 9,336

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Solution

The fourth proportional to 14,649.60, 20,200.32 and 9,336 is: 12,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.60 : 20,200.32 = 9,336 : x
  2. Step 2: Convert to fraction form
    14,649.60/20,200.32 = 9,336/x
  3. Step 3: Cross multiply
    14,649.60x = 20,200.32 × 9,336
  4. Step 4: Simplify right side
    14,649.60x = 188,590,187.52
  5. Step 5: Solve for x
    x = 188,590,187.52/14,649.60
  6. Step 6: Final answer
    x = 12,873.40

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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.