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Finding the Fourth Proportional to 11,635.84, 17,457 and 6,445.36

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Solution

The fourth proportional to 11,635.84, 17,457 and 6,445.36 is: 9,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.84 : 17,457 = 6,445.36 : x
  2. Step 2: Convert to fraction form
    11,635.84/17,457 = 6,445.36/x
  3. Step 3: Cross multiply
    11,635.84x = 17,457 × 6,445.36
  4. Step 4: Simplify right side
    11,635.84x = 112,516,649.52
  5. Step 5: Solve for x
    x = 112,516,649.52/11,635.84
  6. Step 6: Final answer
    x = 9,669.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.