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Finding the Fourth Proportional to 4,630, 6,915.44 and 4,190.56

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Solution

The fourth proportional to 4,630, 6,915.44 and 4,190.56 is: 6,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630 : 6,915.44 = 4,190.56 : x
  2. Step 2: Convert to fraction form
    4,630/6,915.44 = 4,190.56/x
  3. Step 3: Cross multiply
    4,630x = 6,915.44 × 4,190.56
  4. Step 4: Simplify right side
    4,630x = 28,979,566.25
  5. Step 5: Solve for x
    x = 28,979,566.25/4,630
  6. Step 6: Final answer
    x = 6,259.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.