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Finding the Fourth Proportional to 10,084.92, 13,918.98 and 9,642.12

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Solution

The fourth proportional to 10,084.92, 13,918.98 and 9,642.12 is: 13,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.92 : 13,918.98 = 9,642.12 : x
  2. Step 2: Convert to fraction form
    10,084.92/13,918.98 = 9,642.12/x
  3. Step 3: Cross multiply
    10,084.92x = 13,918.98 × 9,642.12
  4. Step 4: Simplify right side
    10,084.92x = 134,208,475.44
  5. Step 5: Solve for x
    x = 134,208,475.44/10,084.92
  6. Step 6: Final answer
    x = 13,307.84

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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.