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Finding the Fourth Proportional to 7,964.66, 11,953.04 and 6,423.20

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Solution

The fourth proportional to 7,964.66, 11,953.04 and 6,423.20 is: 9,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.66 : 11,953.04 = 6,423.20 : x
  2. Step 2: Convert to fraction form
    7,964.66/11,953.04 = 6,423.20/x
  3. Step 3: Cross multiply
    7,964.66x = 11,953.04 × 6,423.20
  4. Step 4: Simplify right side
    7,964.66x = 76,776,719.47
  5. Step 5: Solve for x
    x = 76,776,719.47/7,964.66
  6. Step 6: Final answer
    x = 9,639.67

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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.