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Finding the Fourth Proportional to 10,049.76, 15,077.61 and 7,970.67

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Solution

The fourth proportional to 10,049.76, 15,077.61 and 7,970.67 is: 11,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.76 : 15,077.61 = 7,970.67 : x
  2. Step 2: Convert to fraction form
    10,049.76/15,077.61 = 7,970.67/x
  3. Step 3: Cross multiply
    10,049.76x = 15,077.61 × 7,970.67
  4. Step 4: Simplify right side
    10,049.76x = 120,178,653.70
  5. Step 5: Solve for x
    x = 120,178,653.70/10,049.76
  6. Step 6: Final answer
    x = 11,958.36

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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.