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Finding the Fourth Proportional to 2,605.16, 3,903.34 and 1,577

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Solution

The fourth proportional to 2,605.16, 3,903.34 and 1,577 is: 2,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.16 : 3,903.34 = 1,577 : x
  2. Step 2: Convert to fraction form
    2,605.16/3,903.34 = 1,577/x
  3. Step 3: Cross multiply
    2,605.16x = 3,903.34 × 1,577
  4. Step 4: Simplify right side
    2,605.16x = 6,155,567.18
  5. Step 5: Solve for x
    x = 6,155,567.18/2,605.16
  6. Step 6: Final answer
    x = 2,362.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.