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Finding the Fourth Proportional to 12,310.29, 16,987.97 and 7,004.99

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Solution

The fourth proportional to 12,310.29, 16,987.97 and 7,004.99 is: 9,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.29 : 16,987.97 = 7,004.99 : x
  2. Step 2: Convert to fraction form
    12,310.29/16,987.97 = 7,004.99/x
  3. Step 3: Cross multiply
    12,310.29x = 16,987.97 × 7,004.99
  4. Step 4: Simplify right side
    12,310.29x = 119,000,440.01
  5. Step 5: Solve for x
    x = 119,000,440.01/12,310.29
  6. Step 6: Final answer
    x = 9,666.75

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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.