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Finding the Fourth Proportional to 5,285.70, 7,271.91 and 5,139.90

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Solution

The fourth proportional to 5,285.70, 7,271.91 and 5,139.90 is: 7,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.70 : 7,271.91 = 5,139.90 : x
  2. Step 2: Convert to fraction form
    5,285.70/7,271.91 = 5,139.90/x
  3. Step 3: Cross multiply
    5,285.70x = 7,271.91 × 5,139.90
  4. Step 4: Simplify right side
    5,285.70x = 37,376,890.21
  5. Step 5: Solve for x
    x = 37,376,890.21/5,285.70
  6. Step 6: Final answer
    x = 7,071.32

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Why These Related Problems?

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