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Finding the Fourth Proportional to 13,507.68, 18,643 and 8,476.24

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Solution

The fourth proportional to 13,507.68, 18,643 and 8,476.24 is: 11,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.68 : 18,643 = 8,476.24 : x
  2. Step 2: Convert to fraction form
    13,507.68/18,643 = 8,476.24/x
  3. Step 3: Cross multiply
    13,507.68x = 18,643 × 8,476.24
  4. Step 4: Simplify right side
    13,507.68x = 158,022,542.32
  5. Step 5: Solve for x
    x = 158,022,542.32/13,507.68
  6. Step 6: Final answer
    x = 11,698.72

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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.