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Finding the Fourth Proportional to 5,098.45, 7,031.80 and 4,212.71

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Solution

The fourth proportional to 5,098.45, 7,031.80 and 4,212.71 is: 5,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.45 : 7,031.80 = 4,212.71 : x
  2. Step 2: Convert to fraction form
    5,098.45/7,031.80 = 4,212.71/x
  3. Step 3: Cross multiply
    5,098.45x = 7,031.80 × 4,212.71
  4. Step 4: Simplify right side
    5,098.45x = 29,622,934.18
  5. Step 5: Solve for x
    x = 29,622,934.18/5,098.45
  6. Step 6: Final answer
    x = 5,810.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.