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Finding the Fourth Proportional to 3,953.81, 5,931.32 and 1,488.80

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Solution

The fourth proportional to 3,953.81, 5,931.32 and 1,488.80 is: 2,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.81 : 5,931.32 = 1,488.80 : x
  2. Step 2: Convert to fraction form
    3,953.81/5,931.32 = 1,488.80/x
  3. Step 3: Cross multiply
    3,953.81x = 5,931.32 × 1,488.80
  4. Step 4: Simplify right side
    3,953.81x = 8,830,549.22
  5. Step 5: Solve for x
    x = 8,830,549.22/3,953.81
  6. Step 6: Final answer
    x = 2,233.43

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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.