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Finding the Fourth Proportional to 4,608.40, 6,915.69 and 1,687

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Solution

The fourth proportional to 4,608.40, 6,915.69 and 1,687 is: 2,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.40 : 6,915.69 = 1,687 : x
  2. Step 2: Convert to fraction form
    4,608.40/6,915.69 = 1,687/x
  3. Step 3: Cross multiply
    4,608.40x = 6,915.69 × 1,687
  4. Step 4: Simplify right side
    4,608.40x = 11,666,769.03
  5. Step 5: Solve for x
    x = 11,666,769.03/4,608.40
  6. Step 6: Final answer
    x = 2,531.63

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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.