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Finding the Fourth Proportional to 9,986, 13,780.68 and 5,570

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Solution

The fourth proportional to 9,986, 13,780.68 and 5,570 is: 7,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986 : 13,780.68 = 5,570 : x
  2. Step 2: Convert to fraction form
    9,986/13,780.68 = 5,570/x
  3. Step 3: Cross multiply
    9,986x = 13,780.68 × 5,570
  4. Step 4: Simplify right side
    9,986x = 76,758,387.60
  5. Step 5: Solve for x
    x = 76,758,387.60/9,986
  6. Step 6: Final answer
    x = 7,686.60

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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.