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Finding the Fourth Proportional to 9,840.84, 13,584.15 and 7,209.15

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Solution

The fourth proportional to 9,840.84, 13,584.15 and 7,209.15 is: 9,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.84 : 13,584.15 = 7,209.15 : x
  2. Step 2: Convert to fraction form
    9,840.84/13,584.15 = 7,209.15/x
  3. Step 3: Cross multiply
    9,840.84x = 13,584.15 × 7,209.15
  4. Step 4: Simplify right side
    9,840.84x = 97,930,174.97
  5. Step 5: Solve for x
    x = 97,930,174.97/9,840.84
  6. Step 6: Final answer
    x = 9,951.40

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Half scale
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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.