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Finding the Fourth Proportional to 15,887.88, 23,809.14 and 8,102.16

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Solution

The fourth proportional to 15,887.88, 23,809.14 and 8,102.16 is: 12,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.88 : 23,809.14 = 8,102.16 : x
  2. Step 2: Convert to fraction form
    15,887.88/23,809.14 = 8,102.16/x
  3. Step 3: Cross multiply
    15,887.88x = 23,809.14 × 8,102.16
  4. Step 4: Simplify right side
    15,887.88x = 192,905,461.74
  5. Step 5: Solve for x
    x = 192,905,461.74/15,887.88
  6. Step 6: Final answer
    x = 12,141.67

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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.