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Finding the Fourth Proportional to 15,805.19, 23,690.88 and 7,892.10

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Solution

The fourth proportional to 15,805.19, 23,690.88 and 7,892.10 is: 11,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.19 : 23,690.88 = 7,892.10 : x
  2. Step 2: Convert to fraction form
    15,805.19/23,690.88 = 7,892.10/x
  3. Step 3: Cross multiply
    15,805.19x = 23,690.88 × 7,892.10
  4. Step 4: Simplify right side
    15,805.19x = 186,970,794.05
  5. Step 5: Solve for x
    x = 186,970,794.05/15,805.19
  6. Step 6: Final answer
    x = 11,829.71

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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.