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Finding the Fourth Proportional to 3,710.81, 5,120.10 and 2,275.48

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Solution

The fourth proportional to 3,710.81, 5,120.10 and 2,275.48 is: 3,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.81 : 5,120.10 = 2,275.48 : x
  2. Step 2: Convert to fraction form
    3,710.81/5,120.10 = 2,275.48/x
  3. Step 3: Cross multiply
    3,710.81x = 5,120.10 × 2,275.48
  4. Step 4: Simplify right side
    3,710.81x = 11,650,712.35
  5. Step 5: Solve for x
    x = 11,650,712.35/3,710.81
  6. Step 6: Final answer
    x = 3,139.67

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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.