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Finding the Fourth Proportional to 11,885.74, 16,410 and 7,411.30

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Solution

The fourth proportional to 11,885.74, 16,410 and 7,411.30 is: 10,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.74 : 16,410 = 7,411.30 : x
  2. Step 2: Convert to fraction form
    11,885.74/16,410 = 7,411.30/x
  3. Step 3: Cross multiply
    11,885.74x = 16,410 × 7,411.30
  4. Step 4: Simplify right side
    11,885.74x = 121,619,433
  5. Step 5: Solve for x
    x = 121,619,433/11,885.74
  6. Step 6: Final answer
    x = 10,232.38

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Double scale
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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.