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Finding the Fourth Proportional to 12,807.70, 17,673.42 and 7,141.90

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Solution

The fourth proportional to 12,807.70, 17,673.42 and 7,141.90 is: 9,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.70 : 17,673.42 = 7,141.90 : x
  2. Step 2: Convert to fraction form
    12,807.70/17,673.42 = 7,141.90/x
  3. Step 3: Cross multiply
    12,807.70x = 17,673.42 × 7,141.90
  4. Step 4: Simplify right side
    12,807.70x = 126,221,798.30
  5. Step 5: Solve for x
    x = 126,221,798.30/12,807.70
  6. Step 6: Final answer
    x = 9,855.15

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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.