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Finding the Fourth Proportional to 9,438, 14,158.62 and 2,864.85

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Solution

The fourth proportional to 9,438, 14,158.62 and 2,864.85 is: 4,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 14,158.62 = 2,864.85 : x
  2. Step 2: Convert to fraction form
    9,438/14,158.62 = 2,864.85/x
  3. Step 3: Cross multiply
    9,438x = 14,158.62 × 2,864.85
  4. Step 4: Simplify right side
    9,438x = 40,562,322.51
  5. Step 5: Solve for x
    x = 40,562,322.51/9,438
  6. Step 6: Final answer
    x = 4,297.77

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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.