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Finding the Fourth Proportional to 11,645.51, 17,471.30 and 4,256.15

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Solution

The fourth proportional to 11,645.51, 17,471.30 and 4,256.15 is: 6,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.51 : 17,471.30 = 4,256.15 : x
  2. Step 2: Convert to fraction form
    11,645.51/17,471.30 = 4,256.15/x
  3. Step 3: Cross multiply
    11,645.51x = 17,471.30 × 4,256.15
  4. Step 4: Simplify right side
    11,645.51x = 74,360,364.86
  5. Step 5: Solve for x
    x = 74,360,364.86/11,645.51
  6. Step 6: Final answer
    x = 6,385.33

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