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Finding the Fourth Proportional to 5,646.08, 7,791.20 and 3,127.95

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Solution

The fourth proportional to 5,646.08, 7,791.20 and 3,127.95 is: 4,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.08 : 7,791.20 = 3,127.95 : x
  2. Step 2: Convert to fraction form
    5,646.08/7,791.20 = 3,127.95/x
  3. Step 3: Cross multiply
    5,646.08x = 7,791.20 × 3,127.95
  4. Step 4: Simplify right side
    5,646.08x = 24,370,484.04
  5. Step 5: Solve for x
    x = 24,370,484.04/5,646.08
  6. Step 6: Final answer
    x = 4,316.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.