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Finding the Fourth Proportional to 9,492.42, 14,247.38 and 4,815.71

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Solution

The fourth proportional to 9,492.42, 14,247.38 and 4,815.71 is: 7,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.42 : 14,247.38 = 4,815.71 : x
  2. Step 2: Convert to fraction form
    9,492.42/14,247.38 = 4,815.71/x
  3. Step 3: Cross multiply
    9,492.42x = 14,247.38 × 4,815.71
  4. Step 4: Simplify right side
    9,492.42x = 68,611,250.34
  5. Step 5: Solve for x
    x = 68,611,250.34/9,492.42
  6. Step 6: Final answer
    x = 7,228.00

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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.