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Finding the Fourth Proportional to 12,518, 17,270.07 and 8,271.08

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Solution

The fourth proportional to 12,518, 17,270.07 and 8,271.08 is: 11,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518 : 17,270.07 = 8,271.08 : x
  2. Step 2: Convert to fraction form
    12,518/17,270.07 = 8,271.08/x
  3. Step 3: Cross multiply
    12,518x = 17,270.07 × 8,271.08
  4. Step 4: Simplify right side
    12,518x = 142,842,130.58
  5. Step 5: Solve for x
    x = 142,842,130.58/12,518
  6. Step 6: Final answer
    x = 11,410.94

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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.