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Finding the Fourth Proportional to 4,238, 6,357.44 and 1,160

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Solution

The fourth proportional to 4,238, 6,357.44 and 1,160 is: 1,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238 : 6,357.44 = 1,160 : x
  2. Step 2: Convert to fraction form
    4,238/6,357.44 = 1,160/x
  3. Step 3: Cross multiply
    4,238x = 6,357.44 × 1,160
  4. Step 4: Simplify right side
    4,238x = 7,374,630.40
  5. Step 5: Solve for x
    x = 7,374,630.40/4,238
  6. Step 6: Final answer
    x = 1,740.12

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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.