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Finding the Fourth Proportional to 12,909.63, 17,815.28 and 7,320.63

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Solution

The fourth proportional to 12,909.63, 17,815.28 and 7,320.63 is: 10,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.63 : 17,815.28 = 7,320.63 : x
  2. Step 2: Convert to fraction form
    12,909.63/17,815.28 = 7,320.63/x
  3. Step 3: Cross multiply
    12,909.63x = 17,815.28 × 7,320.63
  4. Step 4: Simplify right side
    12,909.63x = 130,419,002.45
  5. Step 5: Solve for x
    x = 130,419,002.45/12,909.63
  6. Step 6: Final answer
    x = 10,102.46

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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.