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Finding the Fourth Proportional to 9,645, 13,310.18 and 5,229

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Solution

The fourth proportional to 9,645, 13,310.18 and 5,229 is: 7,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 13,310.18 = 5,229 : x
  2. Step 2: Convert to fraction form
    9,645/13,310.18 = 5,229/x
  3. Step 3: Cross multiply
    9,645x = 13,310.18 × 5,229
  4. Step 4: Simplify right side
    9,645x = 69,598,931.22
  5. Step 5: Solve for x
    x = 69,598,931.22/9,645
  6. Step 6: Final answer
    x = 7,216.06

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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.