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Finding the Fourth Proportional to 2,031.46, 3,046.91 and 877.06

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Solution

The fourth proportional to 2,031.46, 3,046.91 and 877.06 is: 1,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.46 : 3,046.91 = 877.06 : x
  2. Step 2: Convert to fraction form
    2,031.46/3,046.91 = 877.06/x
  3. Step 3: Cross multiply
    2,031.46x = 3,046.91 × 877.06
  4. Step 4: Simplify right side
    2,031.46x = 2,672,322.88
  5. Step 5: Solve for x
    x = 2,672,322.88/2,031.46
  6. Step 6: Final answer
    x = 1,315.47

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