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Finding the Fourth Proportional to 11,315.74, 16,933.48 and 8,347.16

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Solution

The fourth proportional to 11,315.74, 16,933.48 and 8,347.16 is: 12,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.74 : 16,933.48 = 8,347.16 : x
  2. Step 2: Convert to fraction form
    11,315.74/16,933.48 = 8,347.16/x
  3. Step 3: Cross multiply
    11,315.74x = 16,933.48 × 8,347.16
  4. Step 4: Simplify right side
    11,315.74x = 141,346,466.92
  5. Step 5: Solve for x
    x = 141,346,466.92/11,315.74
  6. Step 6: Final answer
    x = 12,491.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.