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Finding the Fourth Proportional to 9,981, 13,779.18 and 6,003

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Solution

The fourth proportional to 9,981, 13,779.18 and 6,003 is: 8,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981 : 13,779.18 = 6,003 : x
  2. Step 2: Convert to fraction form
    9,981/13,779.18 = 6,003/x
  3. Step 3: Cross multiply
    9,981x = 13,779.18 × 6,003
  4. Step 4: Simplify right side
    9,981x = 82,716,417.54
  5. Step 5: Solve for x
    x = 82,716,417.54/9,981
  6. Step 6: Final answer
    x = 8,287.39

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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.