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Finding the Fourth Proportional to 6,917.60, 10,368.64 and 2,756.50

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Solution

The fourth proportional to 6,917.60, 10,368.64 and 2,756.50 is: 4,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.60 : 10,368.64 = 2,756.50 : x
  2. Step 2: Convert to fraction form
    6,917.60/10,368.64 = 2,756.50/x
  3. Step 3: Cross multiply
    6,917.60x = 10,368.64 × 2,756.50
  4. Step 4: Simplify right side
    6,917.60x = 28,581,156.16
  5. Step 5: Solve for x
    x = 28,581,156.16/6,917.60
  6. Step 6: Final answer
    x = 4,131.66

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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.