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Finding the Fourth Proportional to 9,645, 14,467.50 and 2,719.50

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Solution

The fourth proportional to 9,645, 14,467.50 and 2,719.50 is: 4,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 14,467.50 = 2,719.50 : x
  2. Step 2: Convert to fraction form
    9,645/14,467.50 = 2,719.50/x
  3. Step 3: Cross multiply
    9,645x = 14,467.50 × 2,719.50
  4. Step 4: Simplify right side
    9,645x = 39,344,366.25
  5. Step 5: Solve for x
    x = 39,344,366.25/9,645
  6. Step 6: Final answer
    x = 4,079.25

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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.