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Finding the Fourth Proportional to 12,130.96, 16,741.05 and 6,825.96

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Solution

The fourth proportional to 12,130.96, 16,741.05 and 6,825.96 is: 9,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.96 : 16,741.05 = 6,825.96 : x
  2. Step 2: Convert to fraction form
    12,130.96/16,741.05 = 6,825.96/x
  3. Step 3: Cross multiply
    12,130.96x = 16,741.05 × 6,825.96
  4. Step 4: Simplify right side
    12,130.96x = 114,273,703.53
  5. Step 5: Solve for x
    x = 114,273,703.53/12,130.96
  6. Step 6: Final answer
    x = 9,420.01

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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.