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Finding the Fourth Proportional to 10,520.56, 14,520.90 and 6,328

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Solution

The fourth proportional to 10,520.56, 14,520.90 and 6,328 is: 8,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.56 : 14,520.90 = 6,328 : x
  2. Step 2: Convert to fraction form
    10,520.56/14,520.90 = 6,328/x
  3. Step 3: Cross multiply
    10,520.56x = 14,520.90 × 6,328
  4. Step 4: Simplify right side
    10,520.56x = 91,888,255.20
  5. Step 5: Solve for x
    x = 91,888,255.20/10,520.56
  6. Step 6: Final answer
    x = 8,734.16

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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.