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Finding the Fourth Proportional to 9,678.76, 13,383.48 and 7,685.80

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Solution

The fourth proportional to 9,678.76, 13,383.48 and 7,685.80 is: 10,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.76 : 13,383.48 = 7,685.80 : x
  2. Step 2: Convert to fraction form
    9,678.76/13,383.48 = 7,685.80/x
  3. Step 3: Cross multiply
    9,678.76x = 13,383.48 × 7,685.80
  4. Step 4: Simplify right side
    9,678.76x = 102,862,750.58
  5. Step 5: Solve for x
    x = 102,862,750.58/9,678.76
  6. Step 6: Final answer
    x = 10,627.68

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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.