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Finding the Fourth Proportional to 13,507.25, 18,639.11 and 8,471.25

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Solution

The fourth proportional to 13,507.25, 18,639.11 and 8,471.25 is: 11,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.25 : 18,639.11 = 8,471.25 : x
  2. Step 2: Convert to fraction form
    13,507.25/18,639.11 = 8,471.25/x
  3. Step 3: Cross multiply
    13,507.25x = 18,639.11 × 8,471.25
  4. Step 4: Simplify right side
    13,507.25x = 157,896,581.77
  5. Step 5: Solve for x
    x = 157,896,581.77/13,507.25
  6. Step 6: Final answer
    x = 11,689.77

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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.