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Finding the Fourth Proportional to 13,695.84, 20,525.04 and 7,447.68

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Solution

The fourth proportional to 13,695.84, 20,525.04 and 7,447.68 is: 11,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.84 : 20,525.04 = 7,447.68 : x
  2. Step 2: Convert to fraction form
    13,695.84/20,525.04 = 7,447.68/x
  3. Step 3: Cross multiply
    13,695.84x = 20,525.04 × 7,447.68
  4. Step 4: Simplify right side
    13,695.84x = 152,863,929.91
  5. Step 5: Solve for x
    x = 152,863,929.91/13,695.84
  6. Step 6: Final answer
    x = 11,161.34

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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.