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Finding the Fourth Proportional to 14,933.16, 20,607.78 and 8,309.16

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Solution

The fourth proportional to 14,933.16, 20,607.78 and 8,309.16 is: 11,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.16 : 20,607.78 = 8,309.16 : x
  2. Step 2: Convert to fraction form
    14,933.16/20,607.78 = 8,309.16/x
  3. Step 3: Cross multiply
    14,933.16x = 20,607.78 × 8,309.16
  4. Step 4: Simplify right side
    14,933.16x = 171,233,341.26
  5. Step 5: Solve for x
    x = 171,233,341.26/14,933.16
  6. Step 6: Final answer
    x = 11,466.65

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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.