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Finding the Fourth Proportional to 12,808.70, 17,674.80 and 7,142.90

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Solution

The fourth proportional to 12,808.70, 17,674.80 and 7,142.90 is: 9,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.70 : 17,674.80 = 7,142.90 : x
  2. Step 2: Convert to fraction form
    12,808.70/17,674.80 = 7,142.90/x
  3. Step 3: Cross multiply
    12,808.70x = 17,674.80 × 7,142.90
  4. Step 4: Simplify right side
    12,808.70x = 126,249,328.92
  5. Step 5: Solve for x
    x = 126,249,328.92/12,808.70
  6. Step 6: Final answer
    x = 9,856.53

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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.