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Finding the Fourth Proportional to 14,604.14, 20,153.70 and 7,980.14

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Solution

The fourth proportional to 14,604.14, 20,153.70 and 7,980.14 is: 11,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.14 : 20,153.70 = 7,980.14 : x
  2. Step 2: Convert to fraction form
    14,604.14/20,153.70 = 7,980.14/x
  3. Step 3: Cross multiply
    14,604.14x = 20,153.70 × 7,980.14
  4. Step 4: Simplify right side
    14,604.14x = 160,829,347.52
  5. Step 5: Solve for x
    x = 160,829,347.52/14,604.14
  6. Step 6: Final answer
    x = 11,012.59

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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.