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Finding the Fourth Proportional to 12,309.98, 16,986.65 and 7,003.40

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Solution

The fourth proportional to 12,309.98, 16,986.65 and 7,003.40 is: 9,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.98 : 16,986.65 = 7,003.40 : x
  2. Step 2: Convert to fraction form
    12,309.98/16,986.65 = 7,003.40/x
  3. Step 3: Cross multiply
    12,309.98x = 16,986.65 × 7,003.40
  4. Step 4: Simplify right side
    12,309.98x = 118,964,184.66
  5. Step 5: Solve for x
    x = 118,964,184.66/12,309.98
  6. Step 6: Final answer
    x = 9,664.05

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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.