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Finding the Fourth Proportional to 6,305.12, 8,681.76 and 5,586.68

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Solution

The fourth proportional to 6,305.12, 8,681.76 and 5,586.68 is: 7,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.12 : 8,681.76 = 5,586.68 : x
  2. Step 2: Convert to fraction form
    6,305.12/8,681.76 = 5,586.68/x
  3. Step 3: Cross multiply
    6,305.12x = 8,681.76 × 5,586.68
  4. Step 4: Simplify right side
    6,305.12x = 48,502,214.96
  5. Step 5: Solve for x
    x = 48,502,214.96/6,305.12
  6. Step 6: Final answer
    x = 7,692.51

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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.