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Finding the Fourth Proportional to 4,687.81, 7,031.75 and 1,400.96

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Solution

The fourth proportional to 4,687.81, 7,031.75 and 1,400.96 is: 2,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.81 : 7,031.75 = 1,400.96 : x
  2. Step 2: Convert to fraction form
    4,687.81/7,031.75 = 1,400.96/x
  3. Step 3: Cross multiply
    4,687.81x = 7,031.75 × 1,400.96
  4. Step 4: Simplify right side
    4,687.81x = 9,851,211.05
  5. Step 5: Solve for x
    x = 9,851,211.05/4,687.81
  6. Step 6: Final answer
    x = 2,101.45

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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.