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Finding the Fourth Proportional to 15,889.90, 23,813.62 and 8,378.14

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Solution

The fourth proportional to 15,889.90, 23,813.62 and 8,378.14 is: 12,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.90 : 23,813.62 = 8,378.14 : x
  2. Step 2: Convert to fraction form
    15,889.90/23,813.62 = 8,378.14/x
  3. Step 3: Cross multiply
    15,889.90x = 23,813.62 × 8,378.14
  4. Step 4: Simplify right side
    15,889.90x = 199,513,842.27
  5. Step 5: Solve for x
    x = 199,513,842.27/15,889.90
  6. Step 6: Final answer
    x = 12,556.02

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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.