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Finding the Fourth Proportional to 5,003, 7,520.70 and 4,642.28

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Solution

The fourth proportional to 5,003, 7,520.70 and 4,642.28 is: 6,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003 : 7,520.70 = 4,642.28 : x
  2. Step 2: Convert to fraction form
    5,003/7,520.70 = 4,642.28/x
  3. Step 3: Cross multiply
    5,003x = 7,520.70 × 4,642.28
  4. Step 4: Simplify right side
    5,003x = 34,913,195.20
  5. Step 5: Solve for x
    x = 34,913,195.20/5,003
  6. Step 6: Final answer
    x = 6,978.45

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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.