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Finding the Fourth Proportional to 14,797.42, 20,421.39 and 8,509.66

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Solution

The fourth proportional to 14,797.42, 20,421.39 and 8,509.66 is: 11,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.42 : 20,421.39 = 8,509.66 : x
  2. Step 2: Convert to fraction form
    14,797.42/20,421.39 = 8,509.66/x
  3. Step 3: Cross multiply
    14,797.42x = 20,421.39 × 8,509.66
  4. Step 4: Simplify right side
    14,797.42x = 173,779,085.63
  5. Step 5: Solve for x
    x = 173,779,085.63/14,797.42
  6. Step 6: Final answer
    x = 11,743.88

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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.