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Finding the Fourth Proportional to 11,332.88, 16,984.93 and 6,405.29

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Solution

The fourth proportional to 11,332.88, 16,984.93 and 6,405.29 is: 9,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.88 : 16,984.93 = 6,405.29 : x
  2. Step 2: Convert to fraction form
    11,332.88/16,984.93 = 6,405.29/x
  3. Step 3: Cross multiply
    11,332.88x = 16,984.93 × 6,405.29
  4. Step 4: Simplify right side
    11,332.88x = 108,793,402.28
  5. Step 5: Solve for x
    x = 108,793,402.28/11,332.88
  6. Step 6: Final answer
    x = 9,599.80

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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.