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Finding the Fourth Proportional to 8,235.72, 12,356.28 and 3,042

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Solution

The fourth proportional to 8,235.72, 12,356.28 and 3,042 is: 4,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.72 : 12,356.28 = 3,042 : x
  2. Step 2: Convert to fraction form
    8,235.72/12,356.28 = 3,042/x
  3. Step 3: Cross multiply
    8,235.72x = 12,356.28 × 3,042
  4. Step 4: Simplify right side
    8,235.72x = 37,587,803.76
  5. Step 5: Solve for x
    x = 37,587,803.76/8,235.72
  6. Step 6: Final answer
    x = 4,564.00

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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.