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Finding the Fourth Proportional to 12,312.66, 18,463.65 and 6,764.34

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Solution

The fourth proportional to 12,312.66, 18,463.65 and 6,764.34 is: 10,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.66 : 18,463.65 = 6,764.34 : x
  2. Step 2: Convert to fraction form
    12,312.66/18,463.65 = 6,764.34/x
  3. Step 3: Cross multiply
    12,312.66x = 18,463.65 × 6,764.34
  4. Step 4: Simplify right side
    12,312.66x = 124,894,406.24
  5. Step 5: Solve for x
    x = 124,894,406.24/12,312.66
  6. Step 6: Final answer
    x = 10,143.58

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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.