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Finding the Fourth Proportional to 15,846.40, 21,868.14 and 8,772.67

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Solution

The fourth proportional to 15,846.40, 21,868.14 and 8,772.67 is: 12,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.40 : 21,868.14 = 8,772.67 : x
  2. Step 2: Convert to fraction form
    15,846.40/21,868.14 = 8,772.67/x
  3. Step 3: Cross multiply
    15,846.40x = 21,868.14 × 8,772.67
  4. Step 4: Simplify right side
    15,846.40x = 191,841,975.73
  5. Step 5: Solve for x
    x = 191,841,975.73/15,846.40
  6. Step 6: Final answer
    x = 12,106.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.