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Finding the Fourth Proportional to 13,281.27, 18,328 and 7,312.82

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Solution

The fourth proportional to 13,281.27, 18,328 and 7,312.82 is: 10,091.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.27 : 18,328 = 7,312.82 : x
  2. Step 2: Convert to fraction form
    13,281.27/18,328 = 7,312.82/x
  3. Step 3: Cross multiply
    13,281.27x = 18,328 × 7,312.82
  4. Step 4: Simplify right side
    13,281.27x = 134,029,364.96
  5. Step 5: Solve for x
    x = 134,029,364.96/13,281.27
  6. Step 6: Final answer
    x = 10,091.61

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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.