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Finding the Fourth Proportional to 6,521.70, 9,000 and 5,122.02

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Solution

The fourth proportional to 6,521.70, 9,000 and 5,122.02 is: 7,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.70 : 9,000 = 5,122.02 : x
  2. Step 2: Convert to fraction form
    6,521.70/9,000 = 5,122.02/x
  3. Step 3: Cross multiply
    6,521.70x = 9,000 × 5,122.02
  4. Step 4: Simplify right side
    6,521.70x = 46,098,180.00
  5. Step 5: Solve for x
    x = 46,098,180.00/6,521.70
  6. Step 6: Final answer
    x = 7,068.43

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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.