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Finding the Fourth Proportional to 9,677.84, 13,372.98 and 7,785.68

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Solution

The fourth proportional to 9,677.84, 13,372.98 and 7,785.68 is: 10,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.84 : 13,372.98 = 7,785.68 : x
  2. Step 2: Convert to fraction form
    9,677.84/13,372.98 = 7,785.68/x
  3. Step 3: Cross multiply
    9,677.84x = 13,372.98 × 7,785.68
  4. Step 4: Simplify right side
    9,677.84x = 104,117,742.93
  5. Step 5: Solve for x
    x = 104,117,742.93/9,677.84
  6. Step 6: Final answer
    x = 10,758.37

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Double scale
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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.