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Finding the Fourth Proportional to 4,609.70, 6,913.32 and 1,688.02

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Solution

The fourth proportional to 4,609.70, 6,913.32 and 1,688.02 is: 2,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.70 : 6,913.32 = 1,688.02 : x
  2. Step 2: Convert to fraction form
    4,609.70/6,913.32 = 1,688.02/x
  3. Step 3: Cross multiply
    4,609.70x = 6,913.32 × 1,688.02
  4. Step 4: Simplify right side
    4,609.70x = 11,669,822.43
  5. Step 5: Solve for x
    x = 11,669,822.43/4,609.70
  6. Step 6: Final answer
    x = 2,531.58

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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.