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Finding the Fourth Proportional to 5,461.60, 8,192.64 and 1,566.40

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Solution

The fourth proportional to 5,461.60, 8,192.64 and 1,566.40 is: 2,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.60 : 8,192.64 = 1,566.40 : x
  2. Step 2: Convert to fraction form
    5,461.60/8,192.64 = 1,566.40/x
  3. Step 3: Cross multiply
    5,461.60x = 8,192.64 × 1,566.40
  4. Step 4: Simplify right side
    5,461.60x = 12,832,951.30
  5. Step 5: Solve for x
    x = 12,832,951.30/5,461.60
  6. Step 6: Final answer
    x = 2,349.67

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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.