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Finding the Fourth Proportional to 4,614.06, 6,915 and 1,689.55

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Solution

The fourth proportional to 4,614.06, 6,915 and 1,689.55 is: 2,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.06 : 6,915 = 1,689.55 : x
  2. Step 2: Convert to fraction form
    4,614.06/6,915 = 1,689.55/x
  3. Step 3: Cross multiply
    4,614.06x = 6,915 × 1,689.55
  4. Step 4: Simplify right side
    4,614.06x = 11,683,238.25
  5. Step 5: Solve for x
    x = 11,683,238.25/4,614.06
  6. Step 6: Final answer
    x = 2,532.09

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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.