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Finding the Fourth Proportional to 8,742.62, 12,064.38 and 4,763.50

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Solution

The fourth proportional to 8,742.62, 12,064.38 and 4,763.50 is: 6,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.62 : 12,064.38 = 4,763.50 : x
  2. Step 2: Convert to fraction form
    8,742.62/12,064.38 = 4,763.50/x
  3. Step 3: Cross multiply
    8,742.62x = 12,064.38 × 4,763.50
  4. Step 4: Simplify right side
    8,742.62x = 57,468,674.13
  5. Step 5: Solve for x
    x = 57,468,674.13/8,742.62
  6. Step 6: Final answer
    x = 6,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.