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Finding the Fourth Proportional to 8,946.66, 13,420.13 and 3,103.46

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Solution

The fourth proportional to 8,946.66, 13,420.13 and 3,103.46 is: 4,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.66 : 13,420.13 = 3,103.46 : x
  2. Step 2: Convert to fraction form
    8,946.66/13,420.13 = 3,103.46/x
  3. Step 3: Cross multiply
    8,946.66x = 13,420.13 × 3,103.46
  4. Step 4: Simplify right side
    8,946.66x = 41,648,754.03
  5. Step 5: Solve for x
    x = 41,648,754.03/8,946.66
  6. Step 6: Final answer
    x = 4,655.23

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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.