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Finding the Fourth Proportional to 5,402.64, 7,455.54 and 3,044.78

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Solution

The fourth proportional to 5,402.64, 7,455.54 and 3,044.78 is: 4,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.64 : 7,455.54 = 3,044.78 : x
  2. Step 2: Convert to fraction form
    5,402.64/7,455.54 = 3,044.78/x
  3. Step 3: Cross multiply
    5,402.64x = 7,455.54 × 3,044.78
  4. Step 4: Simplify right side
    5,402.64x = 22,700,509.14
  5. Step 5: Solve for x
    x = 22,700,509.14/5,402.64
  6. Step 6: Final answer
    x = 4,201.74

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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.