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Finding the Fourth Proportional to 7,378.83, 10,172.82 and 7,149.51

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Solution

The fourth proportional to 7,378.83, 10,172.82 and 7,149.51 is: 9,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.83 : 10,172.82 = 7,149.51 : x
  2. Step 2: Convert to fraction form
    7,378.83/10,172.82 = 7,149.51/x
  3. Step 3: Cross multiply
    7,378.83x = 10,172.82 × 7,149.51
  4. Step 4: Simplify right side
    7,378.83x = 72,730,678.32
  5. Step 5: Solve for x
    x = 72,730,678.32/7,378.83
  6. Step 6: Final answer
    x = 9,856.67

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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.