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Finding the Fourth Proportional to 5,438, 7,504.44 and 3,230

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Solution

The fourth proportional to 5,438, 7,504.44 and 3,230 is: 4,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 7,504.44 = 3,230 : x
  2. Step 2: Convert to fraction form
    5,438/7,504.44 = 3,230/x
  3. Step 3: Cross multiply
    5,438x = 7,504.44 × 3,230
  4. Step 4: Simplify right side
    5,438x = 24,239,341.20
  5. Step 5: Solve for x
    x = 24,239,341.20/5,438
  6. Step 6: Final answer
    x = 4,457.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.