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Finding the Fourth Proportional to 21,963.44, 32,946.62 and 7,730.20

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Solution

The fourth proportional to 21,963.44, 32,946.62 and 7,730.20 is: 11,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.44 : 32,946.62 = 7,730.20 : x
  2. Step 2: Convert to fraction form
    21,963.44/32,946.62 = 7,730.20/x
  3. Step 3: Cross multiply
    21,963.44x = 32,946.62 × 7,730.20
  4. Step 4: Simplify right side
    21,963.44x = 254,683,961.92
  5. Step 5: Solve for x
    x = 254,683,961.92/21,963.44
  6. Step 6: Final answer
    x = 11,595.81

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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.