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Finding the Fourth Proportional to 12,136, 16,744.80 and 6,829.76

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Solution

The fourth proportional to 12,136, 16,744.80 and 6,829.76 is: 9,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136 : 16,744.80 = 6,829.76 : x
  2. Step 2: Convert to fraction form
    12,136/16,744.80 = 6,829.76/x
  3. Step 3: Cross multiply
    12,136x = 16,744.80 × 6,829.76
  4. Step 4: Simplify right side
    12,136x = 114,362,965.25
  5. Step 5: Solve for x
    x = 114,362,965.25/12,136
  6. Step 6: Final answer
    x = 9,423.45

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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.