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Finding the Fourth Proportional to 4,687.88, 7,031.75 and 1,400.90

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Solution

The fourth proportional to 4,687.88, 7,031.75 and 1,400.90 is: 2,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.88 : 7,031.75 = 1,400.90 : x
  2. Step 2: Convert to fraction form
    4,687.88/7,031.75 = 1,400.90/x
  3. Step 3: Cross multiply
    4,687.88x = 7,031.75 × 1,400.90
  4. Step 4: Simplify right side
    4,687.88x = 9,850,736.41
  5. Step 5: Solve for x
    x = 9,850,736.41/4,687.88
  6. Step 6: Final answer
    x = 2,101.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.