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Finding the Fourth Proportional to 5,288.34, 7,931.42 and 2,000.28

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Solution

The fourth proportional to 5,288.34, 7,931.42 and 2,000.28 is: 3,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.34 : 7,931.42 = 2,000.28 : x
  2. Step 2: Convert to fraction form
    5,288.34/7,931.42 = 2,000.28/x
  3. Step 3: Cross multiply
    5,288.34x = 7,931.42 × 2,000.28
  4. Step 4: Simplify right side
    5,288.34x = 15,865,060.80
  5. Step 5: Solve for x
    x = 15,865,060.80/5,288.34
  6. Step 6: Final answer
    x = 3,000.01

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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.