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Finding the Fourth Proportional to 7,688.66, 11,506.84 and 4,917.23

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Solution

The fourth proportional to 7,688.66, 11,506.84 and 4,917.23 is: 7,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.66 : 11,506.84 = 4,917.23 : x
  2. Step 2: Convert to fraction form
    7,688.66/11,506.84 = 4,917.23/x
  3. Step 3: Cross multiply
    7,688.66x = 11,506.84 × 4,917.23
  4. Step 4: Simplify right side
    7,688.66x = 56,581,709.03
  5. Step 5: Solve for x
    x = 56,581,709.03/7,688.66
  6. Step 6: Final answer
    x = 7,359.12

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1.5x scale

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.