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Finding the Fourth Proportional to 9,281, 12,810.66 and 5,969

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Solution

The fourth proportional to 9,281, 12,810.66 and 5,969 is: 8,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281 : 12,810.66 = 5,969 : x
  2. Step 2: Convert to fraction form
    9,281/12,810.66 = 5,969/x
  3. Step 3: Cross multiply
    9,281x = 12,810.66 × 5,969
  4. Step 4: Simplify right side
    9,281x = 76,466,829.54
  5. Step 5: Solve for x
    x = 76,466,829.54/9,281
  6. Step 6: Final answer
    x = 8,239.07

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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.