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Finding the Fourth Proportional to 12,302.57, 16,978.98 and 6,998.18

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Solution

The fourth proportional to 12,302.57, 16,978.98 and 6,998.18 is: 9,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.57 : 16,978.98 = 6,998.18 : x
  2. Step 2: Convert to fraction form
    12,302.57/16,978.98 = 6,998.18/x
  3. Step 3: Cross multiply
    12,302.57x = 16,978.98 × 6,998.18
  4. Step 4: Simplify right side
    12,302.57x = 118,821,958.26
  5. Step 5: Solve for x
    x = 118,821,958.26/12,302.57
  6. Step 6: Final answer
    x = 9,658.30

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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.