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Finding the Fourth Proportional to 13,703.78, 18,910.32 and 7,734.63

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Solution

The fourth proportional to 13,703.78, 18,910.32 and 7,734.63 is: 10,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.78 : 18,910.32 = 7,734.63 : x
  2. Step 2: Convert to fraction form
    13,703.78/18,910.32 = 7,734.63/x
  3. Step 3: Cross multiply
    13,703.78x = 18,910.32 × 7,734.63
  4. Step 4: Simplify right side
    13,703.78x = 146,264,328.38
  5. Step 5: Solve for x
    x = 146,264,328.38/13,703.78
  6. Step 6: Final answer
    x = 10,673.29

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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.