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Finding the Fourth Proportional to 6,864.60, 10,272.60 and 4,677.60

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Solution

The fourth proportional to 6,864.60, 10,272.60 and 4,677.60 is: 6,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.60 : 10,272.60 = 4,677.60 : x
  2. Step 2: Convert to fraction form
    6,864.60/10,272.60 = 4,677.60/x
  3. Step 3: Cross multiply
    6,864.60x = 10,272.60 × 4,677.60
  4. Step 4: Simplify right side
    6,864.60x = 48,051,113.76
  5. Step 5: Solve for x
    x = 48,051,113.76/6,864.60
  6. Step 6: Final answer
    x = 6,999.84

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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.