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Finding the Fourth Proportional to 8,378.66, 12,567.99 and 4,675.34

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Solution

The fourth proportional to 8,378.66, 12,567.99 and 4,675.34 is: 7,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.66 : 12,567.99 = 4,675.34 : x
  2. Step 2: Convert to fraction form
    8,378.66/12,567.99 = 4,675.34/x
  3. Step 3: Cross multiply
    8,378.66x = 12,567.99 × 4,675.34
  4. Step 4: Simplify right side
    8,378.66x = 58,759,563.53
  5. Step 5: Solve for x
    x = 58,759,563.53/8,378.66
  6. Step 6: Final answer
    x = 7,013.01

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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.