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Finding the Fourth Proportional to 7,790.76, 10,750.94 and 4,254

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Solution

The fourth proportional to 7,790.76, 10,750.94 and 4,254 is: 5,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.76 : 10,750.94 = 4,254 : x
  2. Step 2: Convert to fraction form
    7,790.76/10,750.94 = 4,254/x
  3. Step 3: Cross multiply
    7,790.76x = 10,750.94 × 4,254
  4. Step 4: Simplify right side
    7,790.76x = 45,734,498.76
  5. Step 5: Solve for x
    x = 45,734,498.76/7,790.76
  6. Step 6: Final answer
    x = 5,870.35

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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.