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Finding the Fourth Proportional to 5,461.80, 7,537.29 and 2,977.80

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Solution

The fourth proportional to 5,461.80, 7,537.29 and 2,977.80 is: 4,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.80 : 7,537.29 = 2,977.80 : x
  2. Step 2: Convert to fraction form
    5,461.80/7,537.29 = 2,977.80/x
  3. Step 3: Cross multiply
    5,461.80x = 7,537.29 × 2,977.80
  4. Step 4: Simplify right side
    5,461.80x = 22,444,542.16
  5. Step 5: Solve for x
    x = 22,444,542.16/5,461.80
  6. Step 6: Final answer
    x = 4,109.37

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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.