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Finding the Fourth Proportional to 5,073, 7,000.74 and 2,865

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Solution

The fourth proportional to 5,073, 7,000.74 and 2,865 is: 3,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073 : 7,000.74 = 2,865 : x
  2. Step 2: Convert to fraction form
    5,073/7,000.74 = 2,865/x
  3. Step 3: Cross multiply
    5,073x = 7,000.74 × 2,865
  4. Step 4: Simplify right side
    5,073x = 20,057,120.10
  5. Step 5: Solve for x
    x = 20,057,120.10/5,073
  6. Step 6: Final answer
    x = 3,953.70

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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.