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Finding the Fourth Proportional to 15,422.30, 23,101.05 and 12,830.30

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Solution

The fourth proportional to 15,422.30, 23,101.05 and 12,830.30 is: 19,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.30 : 23,101.05 = 12,830.30 : x
  2. Step 2: Convert to fraction form
    15,422.30/23,101.05 = 12,830.30/x
  3. Step 3: Cross multiply
    15,422.30x = 23,101.05 × 12,830.30
  4. Step 4: Simplify right side
    15,422.30x = 296,393,401.82
  5. Step 5: Solve for x
    x = 296,393,401.82/15,422.30
  6. Step 6: Final answer
    x = 19,218.50

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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.