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Finding the Fourth Proportional to 22,505.76, 31,059.76 and 12,435.07

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Solution

The fourth proportional to 22,505.76, 31,059.76 and 12,435.07 is: 17,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.76 : 31,059.76 = 12,435.07 : x
  2. Step 2: Convert to fraction form
    22,505.76/31,059.76 = 12,435.07/x
  3. Step 3: Cross multiply
    22,505.76x = 31,059.76 × 12,435.07
  4. Step 4: Simplify right side
    22,505.76x = 386,230,289.78
  5. Step 5: Solve for x
    x = 386,230,289.78/22,505.76
  6. Step 6: Final answer
    x = 17,161.40

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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.