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Finding the Fourth Proportional to 14,653.66, 20,221.09 and 9,347.91

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Solution

The fourth proportional to 14,653.66, 20,221.09 and 9,347.91 is: 12,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.66 : 20,221.09 = 9,347.91 : x
  2. Step 2: Convert to fraction form
    14,653.66/20,221.09 = 9,347.91/x
  3. Step 3: Cross multiply
    14,653.66x = 20,221.09 × 9,347.91
  4. Step 4: Simplify right side
    14,653.66x = 189,024,882.81
  5. Step 5: Solve for x
    x = 189,024,882.81/14,653.66
  6. Step 6: Final answer
    x = 12,899.50

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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.