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Finding the Fourth Proportional to 13,527, 18,667.26 and 8,220.83

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Solution

The fourth proportional to 13,527, 18,667.26 and 8,220.83 is: 11,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 18,667.26 = 8,220.83 : x
  2. Step 2: Convert to fraction form
    13,527/18,667.26 = 8,220.83/x
  3. Step 3: Cross multiply
    13,527x = 18,667.26 × 8,220.83
  4. Step 4: Simplify right side
    13,527x = 153,460,277.69
  5. Step 5: Solve for x
    x = 153,460,277.69/13,527
  6. Step 6: Final answer
    x = 11,344.74

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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.