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Finding the Fourth Proportional to 7,542, 10,408.08 and 4,230

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Solution

The fourth proportional to 7,542, 10,408.08 and 4,230 is: 5,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542 : 10,408.08 = 4,230 : x
  2. Step 2: Convert to fraction form
    7,542/10,408.08 = 4,230/x
  3. Step 3: Cross multiply
    7,542x = 10,408.08 × 4,230
  4. Step 4: Simplify right side
    7,542x = 44,026,178.40
  5. Step 5: Solve for x
    x = 44,026,178.40/7,542
  6. Step 6: Final answer
    x = 5,837.47

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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.