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Finding the Fourth Proportional to 7,614.64, 11,421.96 and 3,718

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Solution

The fourth proportional to 7,614.64, 11,421.96 and 3,718 is: 5,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.64 : 11,421.96 = 3,718 : x
  2. Step 2: Convert to fraction form
    7,614.64/11,421.96 = 3,718/x
  3. Step 3: Cross multiply
    7,614.64x = 11,421.96 × 3,718
  4. Step 4: Simplify right side
    7,614.64x = 42,466,847.28
  5. Step 5: Solve for x
    x = 42,466,847.28/7,614.64
  6. Step 6: Final answer
    x = 5,577.00

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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.