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Finding the Fourth Proportional to 2,649.64, 3,975.06 and 1,416.40

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Solution

The fourth proportional to 2,649.64, 3,975.06 and 1,416.40 is: 2,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.64 : 3,975.06 = 1,416.40 : x
  2. Step 2: Convert to fraction form
    2,649.64/3,975.06 = 1,416.40/x
  3. Step 3: Cross multiply
    2,649.64x = 3,975.06 × 1,416.40
  4. Step 4: Simplify right side
    2,649.64x = 5,630,274.98
  5. Step 5: Solve for x
    x = 5,630,274.98/2,649.64
  6. Step 6: Final answer
    x = 2,124.92

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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.