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Finding the Fourth Proportional to 9,855.32, 14,775.12 and 5,690.60

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Solution

The fourth proportional to 9,855.32, 14,775.12 and 5,690.60 is: 8,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.32 : 14,775.12 = 5,690.60 : x
  2. Step 2: Convert to fraction form
    9,855.32/14,775.12 = 5,690.60/x
  3. Step 3: Cross multiply
    9,855.32x = 14,775.12 × 5,690.60
  4. Step 4: Simplify right side
    9,855.32x = 84,079,279.40
  5. Step 5: Solve for x
    x = 84,079,279.40/9,855.32
  6. Step 6: Final answer
    x = 8,531.36

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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.