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Finding the Fourth Proportional to 10,622.58, 15,919.92 and 5,942.40

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Solution

The fourth proportional to 10,622.58, 15,919.92 and 5,942.40 is: 8,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.58 : 15,919.92 = 5,942.40 : x
  2. Step 2: Convert to fraction form
    10,622.58/15,919.92 = 5,942.40/x
  3. Step 3: Cross multiply
    10,622.58x = 15,919.92 × 5,942.40
  4. Step 4: Simplify right side
    10,622.58x = 94,602,532.61
  5. Step 5: Solve for x
    x = 94,602,532.61/10,622.58
  6. Step 6: Final answer
    x = 8,905.80

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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.