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Finding the Fourth Proportional to 7,145.33, 9,855.95 and 5,577.17

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Solution

The fourth proportional to 7,145.33, 9,855.95 and 5,577.17 is: 7,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.33 : 9,855.95 = 5,577.17 : x
  2. Step 2: Convert to fraction form
    7,145.33/9,855.95 = 5,577.17/x
  3. Step 3: Cross multiply
    7,145.33x = 9,855.95 × 5,577.17
  4. Step 4: Simplify right side
    7,145.33x = 54,968,231.50
  5. Step 5: Solve for x
    x = 54,968,231.50/7,145.33
  6. Step 6: Final answer
    x = 7,692.89

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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.