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Finding the Fourth Proportional to 12,682.14, 17,501.98 and 7,647.99

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Solution

The fourth proportional to 12,682.14, 17,501.98 and 7,647.99 is: 10,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.14 : 17,501.98 = 7,647.99 : x
  2. Step 2: Convert to fraction form
    12,682.14/17,501.98 = 7,647.99/x
  3. Step 3: Cross multiply
    12,682.14x = 17,501.98 × 7,647.99
  4. Step 4: Simplify right side
    12,682.14x = 133,854,968.02
  5. Step 5: Solve for x
    x = 133,854,968.02/12,682.14
  6. Step 6: Final answer
    x = 10,554.60

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1.5x scale

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.