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Finding the Fourth Proportional to 4,289, 6,421.02 and 3,052.52

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Solution

The fourth proportional to 4,289, 6,421.02 and 3,052.52 is: 4,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289 : 6,421.02 = 3,052.52 : x
  2. Step 2: Convert to fraction form
    4,289/6,421.02 = 3,052.52/x
  3. Step 3: Cross multiply
    4,289x = 6,421.02 × 3,052.52
  4. Step 4: Simplify right side
    4,289x = 19,600,291.97
  5. Step 5: Solve for x
    x = 19,600,291.97/4,289
  6. Step 6: Final answer
    x = 4,569.90

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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.