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Finding the Fourth Proportional to 9,879, 13,634.64 and 5,686.44

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Solution

The fourth proportional to 9,879, 13,634.64 and 5,686.44 is: 7,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879 : 13,634.64 = 5,686.44 : x
  2. Step 2: Convert to fraction form
    9,879/13,634.64 = 5,686.44/x
  3. Step 3: Cross multiply
    9,879x = 13,634.64 × 5,686.44
  4. Step 4: Simplify right side
    9,879x = 77,532,562.28
  5. Step 5: Solve for x
    x = 77,532,562.28/9,879
  6. Step 6: Final answer
    x = 7,848.22

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1.5x scale

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.