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Finding the Fourth Proportional to 15,902.76, 21,946.83 and 9,188.67

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Solution

The fourth proportional to 15,902.76, 21,946.83 and 9,188.67 is: 12,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.76 : 21,946.83 = 9,188.67 : x
  2. Step 2: Convert to fraction form
    15,902.76/21,946.83 = 9,188.67/x
  3. Step 3: Cross multiply
    15,902.76x = 21,946.83 × 9,188.67
  4. Step 4: Simplify right side
    15,902.76x = 201,662,178.42
  5. Step 5: Solve for x
    x = 201,662,178.42/15,902.76
  6. Step 6: Final answer
    x = 12,680.95

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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.