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Finding the Fourth Proportional to 5,413, 8,077.61 and 4,829.80

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Solution

The fourth proportional to 5,413, 8,077.61 and 4,829.80 is: 7,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413 : 8,077.61 = 4,829.80 : x
  2. Step 2: Convert to fraction form
    5,413/8,077.61 = 4,829.80/x
  3. Step 3: Cross multiply
    5,413x = 8,077.61 × 4,829.80
  4. Step 4: Simplify right side
    5,413x = 39,013,240.78
  5. Step 5: Solve for x
    x = 39,013,240.78/5,413
  6. Step 6: Final answer
    x = 7,207.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.