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Finding the Fourth Proportional to 21,364.80, 32,025.60 and 9,686.40

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Solution

The fourth proportional to 21,364.80, 32,025.60 and 9,686.40 is: 14,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.80 : 32,025.60 = 9,686.40 : x
  2. Step 2: Convert to fraction form
    21,364.80/32,025.60 = 9,686.40/x
  3. Step 3: Cross multiply
    21,364.80x = 32,025.60 × 9,686.40
  4. Step 4: Simplify right side
    21,364.80x = 310,212,771.84
  5. Step 5: Solve for x
    x = 310,212,771.84/21,364.80
  6. Step 6: Final answer
    x = 14,519.81

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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.