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Finding the Fourth Proportional to 13,525.29, 18,658.44 and 8,487

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Solution

The fourth proportional to 13,525.29, 18,658.44 and 8,487 is: 11,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.29 : 18,658.44 = 8,487 : x
  2. Step 2: Convert to fraction form
    13,525.29/18,658.44 = 8,487/x
  3. Step 3: Cross multiply
    13,525.29x = 18,658.44 × 8,487
  4. Step 4: Simplify right side
    13,525.29x = 158,354,180.28
  5. Step 5: Solve for x
    x = 158,354,180.28/13,525.29
  6. Step 6: Final answer
    x = 11,708.01

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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.