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Finding the Fourth Proportional to 12,098.70, 16,700.12 and 7,842.25

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Solution

The fourth proportional to 12,098.70, 16,700.12 and 7,842.25 is: 10,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.70 : 16,700.12 = 7,842.25 : x
  2. Step 2: Convert to fraction form
    12,098.70/16,700.12 = 7,842.25/x
  3. Step 3: Cross multiply
    12,098.70x = 16,700.12 × 7,842.25
  4. Step 4: Simplify right side
    12,098.70x = 130,966,516.07
  5. Step 5: Solve for x
    x = 130,966,516.07/12,098.70
  6. Step 6: Final answer
    x = 10,824.84

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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.