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Finding the Fourth Proportional to 15,083.64, 20,817.81 and 14,419.17

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Solution

The fourth proportional to 15,083.64, 20,817.81 and 14,419.17 is: 19,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083.64 : 20,817.81 = 14,419.17 : x
  2. Step 2: Convert to fraction form
    15,083.64/20,817.81 = 14,419.17/x
  3. Step 3: Cross multiply
    15,083.64x = 20,817.81 × 14,419.17
  4. Step 4: Simplify right side
    15,083.64x = 300,175,541.42
  5. Step 5: Solve for x
    x = 300,175,541.42/15,083.64
  6. Step 6: Final answer
    x = 19,900.74

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1.5x scale

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.