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Finding the Fourth Proportional to 10,974.64, 16,423.08 and 9,678.64

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Solution

The fourth proportional to 10,974.64, 16,423.08 and 9,678.64 is: 14,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.64 : 16,423.08 = 9,678.64 : x
  2. Step 2: Convert to fraction form
    10,974.64/16,423.08 = 9,678.64/x
  3. Step 3: Cross multiply
    10,974.64x = 16,423.08 × 9,678.64
  4. Step 4: Simplify right side
    10,974.64x = 158,953,079.01
  5. Step 5: Solve for x
    x = 158,953,079.01/10,974.64
  6. Step 6: Final answer
    x = 14,483.67

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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.