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Finding the Fourth Proportional to 9,671.66, 13,345.89 and 5,692.54

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Solution

The fourth proportional to 9,671.66, 13,345.89 and 5,692.54 is: 7,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.66 : 13,345.89 = 5,692.54 : x
  2. Step 2: Convert to fraction form
    9,671.66/13,345.89 = 5,692.54/x
  3. Step 3: Cross multiply
    9,671.66x = 13,345.89 × 5,692.54
  4. Step 4: Simplify right side
    9,671.66x = 75,971,979.30
  5. Step 5: Solve for x
    x = 75,971,979.30/9,671.66
  6. Step 6: Final answer
    x = 7,855.11

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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.