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Finding the Fourth Proportional to 7,690, 10,612.20 and 4,378.64

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Solution

The fourth proportional to 7,690, 10,612.20 and 4,378.64 is: 6,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690 : 10,612.20 = 4,378.64 : x
  2. Step 2: Convert to fraction form
    7,690/10,612.20 = 4,378.64/x
  3. Step 3: Cross multiply
    7,690x = 10,612.20 × 4,378.64
  4. Step 4: Simplify right side
    7,690x = 46,467,003.41
  5. Step 5: Solve for x
    x = 46,467,003.41/7,690
  6. Step 6: Final answer
    x = 6,042.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.