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Finding the Fourth Proportional to 12,471.70, 17,210.85 and 6,882.70

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Solution

The fourth proportional to 12,471.70, 17,210.85 and 6,882.70 is: 9,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.70 : 17,210.85 = 6,882.70 : x
  2. Step 2: Convert to fraction form
    12,471.70/17,210.85 = 6,882.70/x
  3. Step 3: Cross multiply
    12,471.70x = 17,210.85 × 6,882.70
  4. Step 4: Simplify right side
    12,471.70x = 118,457,031.24
  5. Step 5: Solve for x
    x = 118,457,031.24/12,471.70
  6. Step 6: Final answer
    x = 9,498.07

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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.