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Finding the Fourth Proportional to 3,710.53, 5,120.31 and 2,031.63

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Solution

The fourth proportional to 3,710.53, 5,120.31 and 2,031.63 is: 2,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.53 : 5,120.31 = 2,031.63 : x
  2. Step 2: Convert to fraction form
    3,710.53/5,120.31 = 2,031.63/x
  3. Step 3: Cross multiply
    3,710.53x = 5,120.31 × 2,031.63
  4. Step 4: Simplify right side
    3,710.53x = 10,402,575.41
  5. Step 5: Solve for x
    x = 10,402,575.41/3,710.53
  6. Step 6: Final answer
    x = 2,803.53

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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.