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Finding the Fourth Proportional to 13,859.72, 20,775.06 and 6,458.08

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Solution

The fourth proportional to 13,859.72, 20,775.06 and 6,458.08 is: 9,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.72 : 20,775.06 = 6,458.08 : x
  2. Step 2: Convert to fraction form
    13,859.72/20,775.06 = 6,458.08/x
  3. Step 3: Cross multiply
    13,859.72x = 20,775.06 × 6,458.08
  4. Step 4: Simplify right side
    13,859.72x = 134,166,999.48
  5. Step 5: Solve for x
    x = 134,166,999.48/13,859.72
  6. Step 6: Final answer
    x = 9,680.35

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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.