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Finding the Fourth Proportional to 8,538.98, 12,807.66 and 4,376.66

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Solution

The fourth proportional to 8,538.98, 12,807.66 and 4,376.66 is: 6,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.98 : 12,807.66 = 4,376.66 : x
  2. Step 2: Convert to fraction form
    8,538.98/12,807.66 = 4,376.66/x
  3. Step 3: Cross multiply
    8,538.98x = 12,807.66 × 4,376.66
  4. Step 4: Simplify right side
    8,538.98x = 56,054,773.22
  5. Step 5: Solve for x
    x = 56,054,773.22/8,538.98
  6. Step 6: Final answer
    x = 6,564.57

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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.