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Finding the Fourth Proportional to 8,953.71, 13,430.56 and 3,405.77

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Solution

The fourth proportional to 8,953.71, 13,430.56 and 3,405.77 is: 5,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.71 : 13,430.56 = 3,405.77 : x
  2. Step 2: Convert to fraction form
    8,953.71/13,430.56 = 3,405.77/x
  3. Step 3: Cross multiply
    8,953.71x = 13,430.56 × 3,405.77
  4. Step 4: Simplify right side
    8,953.71x = 45,741,398.33
  5. Step 5: Solve for x
    x = 45,741,398.33/8,953.71
  6. Step 6: Final answer
    x = 5,108.66

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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.