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Finding the Fourth Proportional to 14,005.80, 21,008.70 and 6,983.10

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Solution

The fourth proportional to 14,005.80, 21,008.70 and 6,983.10 is: 10,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.80 : 21,008.70 = 6,983.10 : x
  2. Step 2: Convert to fraction form
    14,005.80/21,008.70 = 6,983.10/x
  3. Step 3: Cross multiply
    14,005.80x = 21,008.70 × 6,983.10
  4. Step 4: Simplify right side
    14,005.80x = 146,705,852.97
  5. Step 5: Solve for x
    x = 146,705,852.97/14,005.80
  6. Step 6: Final answer
    x = 10,474.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.