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Finding the Fourth Proportional to 21,574.70, 29,770.98 and 12,143.06

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Solution

The fourth proportional to 21,574.70, 29,770.98 and 12,143.06 is: 16,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.70 : 29,770.98 = 12,143.06 : x
  2. Step 2: Convert to fraction form
    21,574.70/29,770.98 = 12,143.06/x
  3. Step 3: Cross multiply
    21,574.70x = 29,770.98 × 12,143.06
  4. Step 4: Simplify right side
    21,574.70x = 361,510,796.40
  5. Step 5: Solve for x
    x = 361,510,796.40/21,574.70
  6. Step 6: Final answer
    x = 16,756.24

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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.