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Finding the Fourth Proportional to 10,328.80, 14,255.80 and 6,136.24

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Solution

The fourth proportional to 10,328.80, 14,255.80 and 6,136.24 is: 8,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.80 : 14,255.80 = 6,136.24 : x
  2. Step 2: Convert to fraction form
    10,328.80/14,255.80 = 6,136.24/x
  3. Step 3: Cross multiply
    10,328.80x = 14,255.80 × 6,136.24
  4. Step 4: Simplify right side
    10,328.80x = 87,477,010.19
  5. Step 5: Solve for x
    x = 87,477,010.19/10,328.80
  6. Step 6: Final answer
    x = 8,469.23

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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.