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Finding the Fourth Proportional to 9,871.32, 14,794.02 and 4,678.68

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Solution

The fourth proportional to 9,871.32, 14,794.02 and 4,678.68 is: 7,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.32 : 14,794.02 = 4,678.68 : x
  2. Step 2: Convert to fraction form
    9,871.32/14,794.02 = 4,678.68/x
  3. Step 3: Cross multiply
    9,871.32x = 14,794.02 × 4,678.68
  4. Step 4: Simplify right side
    9,871.32x = 69,216,485.49
  5. Step 5: Solve for x
    x = 69,216,485.49/9,871.32
  6. Step 6: Final answer
    x = 7,011.88

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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.