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Finding the Fourth Proportional to 12,310.98, 16,988.02 and 7,004.40

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Solution

The fourth proportional to 12,310.98, 16,988.02 and 7,004.40 is: 9,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.98 : 16,988.02 = 7,004.40 : x
  2. Step 2: Convert to fraction form
    12,310.98/16,988.02 = 7,004.40/x
  3. Step 3: Cross multiply
    12,310.98x = 16,988.02 × 7,004.40
  4. Step 4: Simplify right side
    12,310.98x = 118,990,887.29
  5. Step 5: Solve for x
    x = 118,990,887.29/12,310.98
  6. Step 6: Final answer
    x = 9,665.43

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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.