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Finding the Fourth Proportional to 2,415.63, 3,623.42 and 954.78

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Solution

The fourth proportional to 2,415.63, 3,623.42 and 954.78 is: 1,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.63 : 3,623.42 = 954.78 : x
  2. Step 2: Convert to fraction form
    2,415.63/3,623.42 = 954.78/x
  3. Step 3: Cross multiply
    2,415.63x = 3,623.42 × 954.78
  4. Step 4: Simplify right side
    2,415.63x = 3,459,557.75
  5. Step 5: Solve for x
    x = 3,459,557.75/2,415.63
  6. Step 6: Final answer
    x = 1,432.15

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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.