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Finding the Fourth Proportional to 15,821.59, 23,735.99 and 8,422.15

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Solution

The fourth proportional to 15,821.59, 23,735.99 and 8,422.15 is: 12,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.59 : 23,735.99 = 8,422.15 : x
  2. Step 2: Convert to fraction form
    15,821.59/23,735.99 = 8,422.15/x
  3. Step 3: Cross multiply
    15,821.59x = 23,735.99 × 8,422.15
  4. Step 4: Simplify right side
    15,821.59x = 199,908,068.18
  5. Step 5: Solve for x
    x = 199,908,068.18/15,821.59
  6. Step 6: Final answer
    x = 12,635.14

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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.