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Finding the Fourth Proportional to 5,463.40, 8,196.32 and 1,567.50

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Solution

The fourth proportional to 5,463.40, 8,196.32 and 1,567.50 is: 2,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.40 : 8,196.32 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    5,463.40/8,196.32 = 1,567.50/x
  3. Step 3: Cross multiply
    5,463.40x = 8,196.32 × 1,567.50
  4. Step 4: Simplify right side
    5,463.40x = 12,847,723.76
  5. Step 5: Solve for x
    x = 12,847,723.76/5,463.40
  6. Step 6: Final answer
    x = 2,351.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.