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Finding the Fourth Proportional to 7,146.61, 9,863.36 and 4,003

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Solution

The fourth proportional to 7,146.61, 9,863.36 and 4,003 is: 5,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.61 : 9,863.36 = 4,003 : x
  2. Step 2: Convert to fraction form
    7,146.61/9,863.36 = 4,003/x
  3. Step 3: Cross multiply
    7,146.61x = 9,863.36 × 4,003
  4. Step 4: Simplify right side
    7,146.61x = 39,483,030.08
  5. Step 5: Solve for x
    x = 39,483,030.08/7,146.61
  6. Step 6: Final answer
    x = 5,524.72

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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.