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Finding the Fourth Proportional to 28,161.50, 42,242.25 and 7,385

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Solution

The fourth proportional to 28,161.50, 42,242.25 and 7,385 is: 11,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,161.50 : 42,242.25 = 7,385 : x
  2. Step 2: Convert to fraction form
    28,161.50/42,242.25 = 7,385/x
  3. Step 3: Cross multiply
    28,161.50x = 42,242.25 × 7,385
  4. Step 4: Simplify right side
    28,161.50x = 311,959,016.25
  5. Step 5: Solve for x
    x = 311,959,016.25/28,161.50
  6. Step 6: Final answer
    x = 11,077.50

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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.