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Finding the Fourth Proportional to 13,509.70, 18,642.90 and 8,476.63

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Solution

The fourth proportional to 13,509.70, 18,642.90 and 8,476.63 is: 11,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.70 : 18,642.90 = 8,476.63 : x
  2. Step 2: Convert to fraction form
    13,509.70/18,642.90 = 8,476.63/x
  3. Step 3: Cross multiply
    13,509.70x = 18,642.90 × 8,476.63
  4. Step 4: Simplify right side
    13,509.70x = 158,028,965.43
  5. Step 5: Solve for x
    x = 158,028,965.43/13,509.70
  6. Step 6: Final answer
    x = 11,697.44

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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.