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Finding the Fourth Proportional to 5,187.48, 7,776.16 and 2,066.48

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Solution

The fourth proportional to 5,187.48, 7,776.16 and 2,066.48 is: 3,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.48 : 7,776.16 = 2,066.48 : x
  2. Step 2: Convert to fraction form
    5,187.48/7,776.16 = 2,066.48/x
  3. Step 3: Cross multiply
    5,187.48x = 7,776.16 × 2,066.48
  4. Step 4: Simplify right side
    5,187.48x = 16,069,279.12
  5. Step 5: Solve for x
    x = 16,069,279.12/5,187.48
  6. Step 6: Final answer
    x = 3,097.70

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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.