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Finding the Fourth Proportional to 7,065.36, 9,748.44 and 3,920.76

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Solution

The fourth proportional to 7,065.36, 9,748.44 and 3,920.76 is: 5,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.36 : 9,748.44 = 3,920.76 : x
  2. Step 2: Convert to fraction form
    7,065.36/9,748.44 = 3,920.76/x
  3. Step 3: Cross multiply
    7,065.36x = 9,748.44 × 3,920.76
  4. Step 4: Simplify right side
    7,065.36x = 38,221,293.61
  5. Step 5: Solve for x
    x = 38,221,293.61/7,065.36
  6. Step 6: Final answer
    x = 5,409.67

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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.