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Finding the Fourth Proportional to 12,298.11, 16,973.91 and 7,820.99

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Solution

The fourth proportional to 12,298.11, 16,973.91 and 7,820.99 is: 10,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.11 : 16,973.91 = 7,820.99 : x
  2. Step 2: Convert to fraction form
    12,298.11/16,973.91 = 7,820.99/x
  3. Step 3: Cross multiply
    12,298.11x = 16,973.91 × 7,820.99
  4. Step 4: Simplify right side
    12,298.11x = 132,752,822.81
  5. Step 5: Solve for x
    x = 132,752,822.81/12,298.11
  6. Step 6: Final answer
    x = 10,794.57

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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.