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Finding the Fourth Proportional to 5,496, 7,584.48 and 2,978.13

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Solution

The fourth proportional to 5,496, 7,584.48 and 2,978.13 is: 4,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496 : 7,584.48 = 2,978.13 : x
  2. Step 2: Convert to fraction form
    5,496/7,584.48 = 2,978.13/x
  3. Step 3: Cross multiply
    5,496x = 7,584.48 × 2,978.13
  4. Step 4: Simplify right side
    5,496x = 22,587,567.42
  5. Step 5: Solve for x
    x = 22,587,567.42/5,496
  6. Step 6: Final answer
    x = 4,109.82

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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.