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Finding the Fourth Proportional to 8,310, 12,465.72 and 2,154

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Solution

The fourth proportional to 8,310, 12,465.72 and 2,154 is: 3,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310 : 12,465.72 = 2,154 : x
  2. Step 2: Convert to fraction form
    8,310/12,465.72 = 2,154/x
  3. Step 3: Cross multiply
    8,310x = 12,465.72 × 2,154
  4. Step 4: Simplify right side
    8,310x = 26,851,160.88
  5. Step 5: Solve for x
    x = 26,851,160.88/8,310
  6. Step 6: Final answer
    x = 3,231.19

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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.