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Finding the Fourth Proportional to 20,032.40, 30,005.40 and 12,256.40

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Solution

The fourth proportional to 20,032.40, 30,005.40 and 12,256.40 is: 18,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.40 : 30,005.40 = 12,256.40 : x
  2. Step 2: Convert to fraction form
    20,032.40/30,005.40 = 12,256.40/x
  3. Step 3: Cross multiply
    20,032.40x = 30,005.40 × 12,256.40
  4. Step 4: Simplify right side
    20,032.40x = 367,758,184.56
  5. Step 5: Solve for x
    x = 367,758,184.56/20,032.40
  6. Step 6: Final answer
    x = 18,358.17

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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.